Johnny Kelly's side went score for score with Down initially in Dvision 2A.
Offaly secured a valuable win in Ballycran on Sunday in their national hurling league opener.
Down and Johnny Kelly’s side went score for score initially until Offaly pulled away.
They were helped on their way to a Division 2A win by Down being reduced to 14 just before half time, and 13 after the break.
It finished Offaly 21 points Down 18 points.