Killings and violence against LGBT people in Central America are driving hundreds to flee their homes each year, but they have no safe sanctuary to run to, Amnesty International said on Monday.

Lesbian, gay, bisexual and transgender people are being forced to leave El Salvador, Honduras and Guatemala to escape "epidemic levels of violence" and threats by criminal gangs and security forces, the rights group said in a report.

"People are facing vicious discrimination in Central America due to their gender identities, and have absolutely nowhere to run for safety," Erika Guevara-Rosas, Americas director at Amnesty International said in a statement.