"Yes, of course it's true," the actor, 46, told The Miami Herald while promoting his new South Beach restaurant Villa Azur.
Berry, 45, and Martinez have been dating since fall 2010 when they met co-starring in the film Dark Tide. Martinez and Berry were one of two celebrity couples rumored to be engaged in January. (Feel free to confirm your engagement any day now, Justin Timberlake and Jessica Biel.)
Berry was previously married to baseball player David Justice from 1992 to 1997, and later to singer Eric Benet from 2001 to 2005. She has a 3-year-old daughter, Nahla, with model Gabriel Aubrey. Martinez, best known for films like Unfaithfuland S.W.A.T., previously dated singer Kylie Minogue for several years.