Regis \r(e)-gis\ as a boy's name is pronounced REE-jis. It is of Latin origin, and the meaning of Regis is "kingly". French surname used as given name. There are Catholic schools called "Regis" (the king here refers to Jesus). Familiar today due to TV morning show host Regis Philbin of "Live with Regis and Kathie Lee".
Baby names that sound like Regis are Rex and Rochus. Other similar baby names are Regin, Rees, Regen, Regino, Remus and Reyes.