They won the final involving the two most decorated sides in the county.
Rhode are Offaly Senior Football Champions for the 30th time.
Despite leading at half time and securing a late goal, Tullamore were beaten 1-9 to 1-7 in very tough conditions.
Five points from the boot of Niall McNamee and a goal from Aaron Kelleghan turned around a 5 points to 3 deficit at the half with a strong breeze in O'Connor Park.
Rhode manager Malachy McNulty says it was a difficult challenge from start to finish: