Though it wasn't specified in the motion, Nelson said council's preferred method would be to inject the trackers into offenders.
The decision came just days after a 14-year-old boy was robbed of his BMX bike at gunpoint at the city's skate park on Monday afternoon.
"I was stunned," said Nelson. "I've got young children myself. You always hear these things happen somewhere else. It's crazy."
Williams Lake Councillor Scott Nelson wants the government to start injecting prolific offenders with GPS trackers. (City of Williams Lake )
In response, Nelson felt the city needed to do more to help the local RCMP track prolific offenders in the central Interior B.C. community of about 10,000.
"There is many different ways to do it. We'd like the one where you are absolutely forced to be injected, so it can't be torn off,"
Nelson told CBC Radio.
"As you get out of jail, you are getting a shot of GPS and we are going to be tracking you 24 hours a day, 365 days ... We'll know everything you do, where you are, what you are up to. If there is a sense of any criminal activity, back to the hoosegow you are going to go."
Scott said the program would not target young offenders with minor offences.
"We are talking about the guys that have got sheets 14 miles long, that don't care about laws, that don't care about communities. All they are out there to do is to wreak havoc."