Matthew Cummings, who last month became the first police chief fired in Newton’s history, could qualify for an annual government pension of as much as $129,000, topping all other retired workers in the city’s system.

Cummings, who lost his job over what the city described as unbecoming behavior, applied last week for his retirement, effective on Oct. 24, said Kelly Byrne, director of the Newton Contributory Retirement System. After getting the required state approvals, Cummings could receive his first check at the end of this month, Byrne said.