I would, depending on the situation. My husband and I were military, and when he got out, he moved back home ahead of me, while I was still in...we had it a little easier because we could web chat occasionally, but since he worked nights it was only about once a week...We explained that daddy was away working, and that we would see him when he was done. A two year old doesn't have a great grasp on time, so it wasn't as traumatic as I thought it would be.
She needs to know where her father is if he is a regular part of her life. I'd just explain that he did something bad (no need for details) and he is in a place where grown-ups go for time-out. A two year old knows basic right from wrong and should understand what time out is. If he's not a regular part of her life, I would probably wait until she expresses her curiosity on his whereabouts.
at 10:39 AM on Aug. 25, 2009