The 49-year-old, whose recently fell out with daughter Lindsay Lohan after suggesting that she should go to rehab, reportedly said that he was waiting for the "situation with Lindsay to resolve" before announcing his engagement.
Lohan told Us Magazine of Major: "She's been there for five years with me. I think a friendship is more important than anything when you have a relationship, and this is the strongest one in my life."
He also said that he asked Major's father for permission two weeks ago, adding: "One of the things I spoke to her dad about... Kate wants to have children."
Major, who used to date reality TV star Jon Gosselin, said: "I'm really happy. I have talked to some of the bridesmaids and we have discussed having the wedding later this year... at Oheka Castle in New York. But right now, I'm just enjoying being engaged."
She added: "Jon and I don't speak, but I wish him and Kate Gosselin the best."