The ex-Australia youth international spent three years with Northampton before returning to Australia this year. He won his Mariners deal after successful preseason trials.
"Pedj is a player that weâve been keeping our eye on for some time and we're suitably convinced and confident that he has a lot to offer at this level," said Mariners Executive Chairman Lyall Gorman.
"Pedj is regarded by many as the best player in the NSW Premier League and, mindful of the success that weâve had previously when recruiting from this league with the likes of Mile Jedinak and Matt Simon, weâre hoping to have landed another success story in Pedj.
Bojic added: "One of the primary reasons I left England in 2007 was in the hope of breaking into the Hyundai A-League and I'm delighted to have been given this chance by the Central Coast Mariners.
"Since returning, I've trained with a few clubs and experienced some of the setups on offer around the country and, for me, the Mariners was head and shoulders above the rest, particularly in regards to the team spirit and morale here, which is among the best Iâve ever been apart of.
"I'm excited to be playing alongside each of my new team-mates here on the Central Coast and I'm confident, as the entire playing group is, that we have a squad capable of lifting some silverware this season and continuing the fine history that this club has set in previous years."