The derby at Ulker Stadium Sukru Saracoglu Sport Complex lacked any tempo as the city rivals were unable to record any shots on target the entire game.
Kjaer, Alper from hosts Fenerbahce and Quaresma, Tosic, and Necip from visitors Besiktas were given the yellow card.
In another game earlier Saturday, Medipol Basaksehir managed to save top spot in the league despite losing two points at home in 2-2 draw with with Antalyaspor.
After derby draw, Besiktas and Fenerbahce maintained the gap and remained in the second and third places, respectively.
Fourth-placed Galatasaray will play Sunday against Kasimpasa at Istanbul's Recep Tayyip Erdogan Stadium.