CONCORD, N.H. — The New Hampshire House has failed to override Republican Gov. Chris Sununu’s veto of a bill that would have imposed new requirements on local zoning boards.

The bill would have required zoning boards to take separate votes on five criteria that must be met by builders and others seeking permission to vary from local zoning rules. Current law allows zoning boards to take one vote on all five criteria at once. In vetoing it, Sununu said the bill would have needlessly interfered with local control.

The bill’s supporters argued Thursday that getting a variance from rules a community has enacted should be difficult. But opponents said the bill would have slowed down the process of seeking a variance and that towns already have the option of requiring five separate votes.