Homosexuality is usually seem as forbidden by Islamic law and because of this there is often little tolerance for same sex relationships among strict Muslims.
In some Muslim countries, GLBT individuals have been persecuted and some gay people even executed for having same sex relationships. Iran for example, has executed thousands of people for being gay. The justification has generally been that Islam is opposed homosexuality.
However, there are Muslim groups that support and welcome GLBT members. One of these is the US based Al-Fatiha Foundation who “promotes the progressive Islamic notions of peace, equality and justice [and] envision a world that is free from prejudice, injustice and discrimination, where all people are fully embraced and accepted into their faith, their families and their communities.”
Al-Fatiha also provides an extensive list of resources for GLBT Muslims.