In many countries around the world, lesbian, gay, bisexual and transgender people (LGBT) often face stigma and discrimination. The efforts in fighting for equal rights and non-discrimination against LGBT people are not only made in marriage but also in many other aspects, such as the right to adoption of LGBT people. This paper studies some issues related to human rights to adoption of LGBT people, including the influence of individuals’ sexual orientation or gender identity on their rights to adoption, the rights of children adopted by LGBT people. The similarities and differences between the laws related adoption by LGBT in Vietnam and some Asian countries are indicated. Moreover, the paper analyzes the influencing factors and impacts of legal regulations on the rights of LGBT people. The gaps and inconsistencies in the legal system are shown, thereby some recommendations are recommended to improve the law to ensure human rights to adoption of LGBT people.