The bipartisan group hasn't taken a position on the new hours. Ockerman said the association's members were "all over the map" in their recommendations to Husted on the hours.
Larger, urban counties had typically allowed weekend voting ahead of Election Day to try to curb long lines at the polls.
The top county official in Cleveland said he thought the hours could have been more convenient, but he isn't complaining about what the cost might be to the elections board.
"To be open for a few hours on the weekend is worth it," said Cuyahoga County Executive Ed FitzGerald, a Democrat.
Associated Press Writer Mark Sherman in Washington contributed to this report.
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