Is it too soon??

I have been with my bf for almost 2 months and he loves me and i love him, everything happened so fast but everything is great... we have the best time together and he takes care of me and respects me,
he asked me to move in with him??
I love him and he loves me, but the only thing is that i worry what my family and my parents are going to think... they wont understand.... but is 2 months too soon to move in with someone???