Alanis Morissette has gotten married.

The singer, 36, wed rapper Mario "MC Souleye" Treadway at their Los Angeles home May 22 in a private ceremony with close friends and family, her rep tells

"She did get married," the rep tells Us.

"So happy to share with you that my man Souleye and I got married. We're very excited to embark on this journey with each other.... sending love... connect soon xo - Alanis," she wrote on Twitter.

It is the first marriage for the couple.

Morissette was previously engaged to actor Ryan Reynolds.