Defenders Emilio Izaguirre and Mikael Lustig have both signed new three-year contract extensions at Celtic.
Lustig missed four months of the season after a hip operation, returning to first-team action in late April.
Izaguirre, who will feature at the World Cup, made 45 appearances for Celtic this term.
"Celtic is a place I have called home for a number of years now and it is the place where I want to be in the future," Izaguirre told the club website.
Lustig, who played for Rosenborg in Norway before his switch to the Scottish champions, said: "It has been brilliant to win trophies here.
"I hope we can go again next season and bring more silverware to Celtic and achieve one of our main objectives in the next few months and take Celtic to the Champions League again."
Celtic are in the process of appointing a new manager following the departure of Neil Lennon, who brought both Izaguirre and Lustig to Glasgow.