Then Ahimelech answered the king, and said, Who among all your servants is so faithful as David, who is the king's son-in-law, and is taken into your council, and is honorable in your house?
So he actually crossed over in the area of the Dead Sea, went over to the other side to Moab and there he established his family. Now he knew that Saul's anger against him would ultimately turn against his family.