Left-back Kilman joins on a two-year deal from Maidenhead United having made one National League appearance last season against Gateshead.
Molberg, a Danish centre half, has signed on loan until January from Hobro IK in his home nation.
Meanwhile, goalkeeper James Pardington has joined until the end of the season after leaving Rushall Olympic.
All three new signings will be available for selection as Rob Edwards’ side begin their campaign at Reading on Saturday.