This master thesis deals with the persecution of LGBTI people and their right to asylum. In particular, the specific problems and challenges a person who is forced to flee, because of their sexual orientation or gender identity, will be examined. These include difficulties related to the substantiation of the reasons for asylum to the authorities as well as problems with regard to the internal flight alternative or a late submission of the flight reason. In addition to the definitions of the terms LGBTI (Lesbian, Gay, Bisexual, Trans* and Intersex), asylum seekers, refugees, migrants, the paper gives an insight into the social and legal situation of LGBTI people in the European Union. It discusses legal provisions for the protection of LGBTI people as well as hate crimes and discrimination against LGBTI people in the European Union. Afterwards, it will be shown what persecution is, which reasons for persecution are recognized in the Geneva Convention, as well as where and in what manner LGBTI people threatens persecutions. Important legal sources in asylum and refugee law, which are particularly for LGBTI asylum seekers of importance, are examined in more detail. Moreover I address the issue, whether the request to conceal the sexual orientation or gender identity in the country of origin is conform to human rights. In the last chapter specific problems in the host country, especially in connection with the accommodation and the problem of multiple discrimination against LGBTI refugees, are discussed.