In particular, the court will examine a section of DOMA, a law passed in 1996, which defines marriage as only between a man and a woman, The Washington Post reported.
In 2011, the Obama administration said it would abandon defending the law, and a string of lower courts ruled that it was unconstitutional to deny same-sex couples who were legally married federal benefits while offering them to opposite-sex married couples.
The Post noted that since DOMA centers around already married couples, that particular case would not answer the constitutional question of whether homosexuals are allowed to be married.
The court also decided to hear an appeal by supporters of California's Proposition 8, which seeks to ban same-sex marriage.
The US 9th Circuit Court of Appeals struck down the 2008 law as unconstitutional, saying it violated the constitutional guarantee of equal protection by denying same-sex couples rights that heterosexual couples had access to, Bloomberg noted.
Bloomberg reported that the court will decide the cases by June. The high court's decision to review the cases comes as the gay marriage movement has gathered momentum, winning at the polls in four states this year.