The win over Shinrone seals their place in the knockout stages.
Ballinamere made it three wins from three in the Offaly Senior Hurling Championship over the weekend.
Brian Duignan netted a hat trick for his side as they defeated Shinrone by 3-28 to 2-23 in Birr on Saturday.
Joe Maher also impressed with 0-8, with Sam Bourke, Dan Ravenhill and Aaron Maher all finishing with 0-3 each.
The win secures Ballinamere a place in the knockout stages.
Duignan says their performance levels have stepped up this season:
Elsewhere, St Rynaghs also booked their place in the knockout stages thanks to a 2-24 to 0-19 win over Kinnitty.
Birr got their opening win of the season with a 1-23 to 0-15 win over Coolderry and Belmont saw off a late fightback from Tullamore as they won by 4-14 to 3-13.
Our coverage of Offaly GAA is with thanks to Leahy Midland Auctioneers.
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