The 29-year-old has long been strongly linked with a move to Premier League rivals Manchester United.
United had two bids for Baines rejected in the summer and it is reported that they will make a new bid in January.
But Martinez insists that Baines will stay at Goodison.
“I can guarantee he will be here at the end of the season. That is 100 percent,” said Martinez.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.