Briggs' starting salary was $330,000 - $55,777 less than his predecessor Barry Harris.
The council also confirmed it had extended its contract for another four years until 2021.
Mayor Andrew King said it confirmed the council's confidence in the chief executive.
King said the council did not look at what other council bosses were on when making the decision and instead took advice from an independent company which gave them a guideline of salaries for all CEOs.
When asked whether other council staff should expect a 15 per cent increase, King said what was important was that Briggs was getting the correct level for his job.
"Richard is a performer. He's adding value to the council and I think council is very pleased with how he's going."
In comparison Auckland Council chief executive Stephen Town receives $690,000 a year.
Hamilton City Council would not provide the voting numbers, only to say it was a majority vote.
However, the Herald understands the vote was 8/4 following a heated debate. Councillor Phillip Yeung is still on leave.