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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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.