Citizenship of the Republic of Uzbekistan is acquired:

1. By birth:

A child is considered a citizen of Uzbekistan if: both parents at the time of the child's birth were citizens of Uzbekistan, regardless of where the child was born child; if one of the parents is a citizen of Uzbekistan, and the child was born in Uzbekistan.

If the parents have different citizenships, one of whom was a citizen of the Republic of Uzbekistan at the time of the child's birth, the child is a citizen of the Republic of Uzbekistan:

• if he was born near the Republic of Uzbekistan; 
• if he was born outside the borders

of the Republic of Uzbekistan, but the parents or one of them at that time had a permanent place of residence in the territory of the Republic of Uzbekistan.

In case of different citizenship of the parents, one of whom was a citizen of the Republic of Uzbekistan before the birth of the child, if at that time both parents had a permanent place of residence outside the Republic of Uzbekistan, the citizenship of the child born outside the Republic of Uzbekistan is determined by the consent of the parents, expressed in in writing.

A child, one of whose parents was a citizen of the Republic of Uzbekistan at the time of the child's birth, and the other was a stateless person or was unknown, is a citizen of the Republic of Uzbekistan regardless of the place of birth.

In the case of establishing the paternity of a child whose mother is a stateless person, and whose father is recognized as a citizen of the Republic of Uzbekistan, the child who has not reached the age of 14 becomes a citizen of the Republic of Uzbekistan regardless of the place of birth.

2. As a result of admission to the citizenship of the Republic of Uzbekistan.

Foreign citizens and stateless persons may be accepted at their request

to citizenship of the Republic of Uzbekistan regardless of origin, race and nationality, gender, education, language, attitude to religion, political and other beliefs.

The conditions for accepting citizenship of the Republic of Uzbekistan are:

1. renunciation of foreign citizenship;

2. permanent residence near the Republic of Uzbekistan during the last five years. This rule does not apply to persons who have expressed a desire to become citizens of the Republic of Uzbekistan, provided that they were born and proved that at least one of their parents, grandfather or grandmothers was born on its territory and are not citizens of other states;

3. availability of legal sources of livelihood;

4. recognition and implementation of the Constitution of the Republic of Uzbekistan.

The requirements specified in clauses 1, 2 and 3 may not be taken into account in exceptional cases by the decision of the President of the Republic of Uzbekistan regarding individuals who have significant merits for the Republic of Uzbekistan or high achievements in the field of science, technology, culture, and also have a profession or qualification that is of interest to the Republic of Uzbekistan.

An application for admission to the citizenship of the Republic of Uzbekistan is rejected if person:

• advocates a violent change of the constitutional system of the Republic of Uzbekistan;
• is in parties and other organizations whose activities are incompatible with the constitutional principles of the Republic of Uzbekistan;
• convicted and serving a prison sentence for actions prosecuted under the laws of the Republic of Uzbekistan.

3. on the grounds stipulated by the international treaties of the Republic of Uzbekistan;

4. on other grounds provided for by this Law.

Preservation of citizenship during marriage and divorce.

The marriage of a citizen of the Republic of Uzbekistan with a person holding foreign citizenship or a stateless person, as well as the dissolution of such a marriage, do not entail changes in the citizenship of the spouses. A change of citizenship by one of the spouses does not entail a change in the citizenship of the other spouse.

Restoration of citizenship of the Republic of Uzbekistan.

A person who was previously a citizen of the Republic of Uzbekistan may, at his request, be renewed in the citizenship of the Republic of Uzbekistan in accordance with the requirements of the law.

Grounds for termination of citizenship of the Republic of Uzbekistan.

Citizenship of the Republic of Uzbekistan is terminated:

1. as a result of leaving the citizenship of the Republic of Uzbekistan;

2. due to loss of citizenship of the Republic of Uzbekistan;

3. on the grounds stipulated by the international treaties of the Republic of Uzbekistan;

4. on other grounds provided for by this Law.

Termination of citizenship of the Republic of Uzbekistan causes termination of citizenship of the Republic of Karakalpakstan.

Change of citizenship of children in case of change of citizenship of parents.

When the parent’s citizenship changes, as a result of which both become citizens of the Republic of Uzbekistan or both leave the citizenship of the Republic of Uzbekistan, the citizenship of their children who have not reached the age of 14 changes accordingly. If one of the child's parents is known, when the citizenship of this parent changes, the citizenship of the child who has not reached the age of 14 changes accordingly.

Preservation of citizenship of the Republic of Uzbekistan by a child who has been placed under guardianship or custody.

If both parents or the only parent of a child living in the territory of the Republic of Uzbekistan leave the citizenship of the Republic of Uzbekistan and at the same time do not take part in the upbringing of a child over whom the guardianship or guardianship of citizens of the Republic of Uzbekistan has been established, the child retains citizenship at the request of the parents, guardian or custodian.

Acquisition of citizenship of the Republic of Uzbekistan by children in case of acquisition of citizenship of the Republic of Uzbekistan by one of the parents.

If one of the parents becomes a citizen of the Republic of Uzbekistan, and the other remains a foreign citizen, the child may acquire the citizenship of the Republic of Uzbekistan at the request of the father, who acquires the citizenship of the Republic of Uzbekistan.

If one of the parents becomes a citizen of the Republic of Uzbekistan, and the other remains a stateless person, the child living in the territory of the Republic of Uzbekistan becomes a citizen of the Republic of Uzbekistan. If one of the parents becomes a citizen of the Republic of Uzbekistan, and the other remains a stateless person, a child living outside the Republic of Uzbekistan may acquire the citizenship of the Republic of Uzbekistan at the request of the father who acquires the citizenship of the Republic of Uzbekistan.

Preservation of the citizenship of the Republic of Uzbekistan by children in case of leaving one of the parents from the citizenship of the Republic of Uzbekistan.

If the citizenship of the Republic of Uzbekistan comes from one parent, and the other remains a citizen of the Republic of Uzbekistan, the child retains the citizenship of the Republic of Uzbekistan.

At the request of the father, who renounces the citizenship of the Republic of Uzbekistan, such a child may be allowed to renounce the citizenship of the Republic of Uzbekistan.

Acquisition of citizenship of the Republic of Uzbekistan by children in case of adoption.

A child who is a foreign citizen or a stateless person who is adopted by citizens of the Republic of Uzbekistan becomes a citizen of the Republic of Uzbekistan. A child who is a foreign citizen, adopted by a couple, one of whom is a citizen of the Republic of Uzbekistan, and the other a stateless person, becomes a citizen of the Republic of Uzbekistan. A stateless child adopted by a spouse, one of whom is a citizen of the Republic of Uzbekistan, becomes a citizen of the Republic of Uzbekistan. A child who is a foreign citizen is adopted by a couple, one of whom is a citizen of the Republic of Uzbekistan, and the other a foreign citizen, becomes a citizen of the Republic of Uzbekistan with the consent of the adopters.

Retention of citizenship of the Republic of Uzbekistan by children in case of adoption.

A child who is a citizen of the Republic of Uzbekistan, adopted by foreign citizens or adopted by a spouse, one of whom is a citizen of the Republic of Uzbekistan and the other a foreign citizen, retains the citizenship of the Republic of Uzbekistan. At the request of the adoptive parents, such a child may be allowed to leave the citizenship of the Republic of Uzbekistan. A child who is a citizen of the Republic of Uzbekistan, adopted by stateless persons or adopted by a couple, one of whom is a citizen of the Republic of Uzbekistan and the other a stateless person, retains the citizenship of the Republic of Uzbekistan.

Necessity of children's consent when changing their citizenship.

Change of citizenship of children aged 14 to 18 years in case of change of citizenship of their parents, as well as in case of adoption, can be done only with the consent of the children in the manner provided by Article 34 of the Law of the Republic of Uzbekistan "On Citizenship".

You can read more details at the link- http://hrlibrary.umn.edu/asylum/Ruzbek4.1.12.html