The program will receive a $475,000 grant from the Quebec government, Premier Jean Charest announced Monday.
The project will benefit from the work of 20 researchers, coming from a handful of Quebec post-secondary institutions.
The university has also received private donations and there are plans to do corporate fundraising — as well as asking for a federal contribution.
The announcement comes a month after the suicide of Ottawa teenager Jamie Hubley, whose death prompted a national conversation on homophobic bullying.
"The most recent statistics paint an alarming portrait," said provincial Justice Minister Jean-Marc Fournier.
"We can see that homosexual people are almost three times as likely to become victims of a violent crime as heterosexuals.
"One gay or lesbian person out of two has suicidal thoughts because of the homophobic violence at school. Elderly gay and lesbian people fear going into a residence, out of fear they'll have to hide their sexual orientation."