Waipā deputy mayor Liz Stolwyk said the incident was resolved by the late afternoon.
"We closed for the afternoon due to a threat that you of course need to take seriously just in case," said Stolwyk.
Council chief executive Garry Dyet said the closures were to ensure the health and safety of staff.
"First and foremost, we need to ensure the safety of our staff and that is why we have these lockdown procedures in place. We thank the police for their assistance and their prompt response," said Dyet.
The impounded dog was returned to the threatener following the payment of their fees, he added.
Council offices and facilities were able to reopen today.