The meeting takes place at 3 p.m. at borough hall. All are welcome.
Mathieu (Conservative Republican) and Martin (Regular Garwood GOP) beat write-in challenger Bruce Paterson (Independent) in November's election.
The Garwood Democrats did not field a candidate in the election. This will be Mathieu's second term on council. Martin was the top vote-getter.
"I'm just glad that Jim didn't get a mandate for his extremist opinion and his nonproductive record," Martin told Patch on election night. "But I'm disappointed that Bruce Paterson and I both did not win. Bruce is a dedicated, passionate resident of Garwood and he would have been a great council person."
Martin also ran in the 2012 council election.
Mathieu says he's looking forward to three more years on council.
"I’m ecstatic to be going back to the council for three more years to fight for Garwood’s taxpayers," he told Patch on election night. "And more importantly, I’m looking forward to galvanizing a movement afoot in Garwood to change politics down at borough hall."