Hêvî LGBTI+ was founded in 2013 as a result of independent LGBTI+ people uniting and organizing around shared values.

Lesbian, Gay, Bisexual, Transgender, and Intersexual (LGBTI+) activists formed Hêvî, which believe that lgBTI+ policies should be addressed within a broad political framework and regards class, ethnicity, nonsexism, migrant and refugee rights, as well as freedom of people and environment, as essential components of LGBTI+ policies.

Hêvî LGBTI+ initiative, mostly formed by Kurdish LGBTI+ people, has gradually included activists from different ethnicities. Hêvî LGBTI+ initiative, where LGBTI+ individuals of many various origins including Armenian, Arab, and Turk got together and produced policies, became an official association in 2015. It began carrying out its activities as an association in its Beyoğlu office.