Diego Ribas gave Fenerbahce an early lead and Robin van Persie doubled the Yellow Canaries lead just a minute before half-time from the penalty spot.
Kasimpasa defender Titi was sent off in the incident that resulted in the penalty and Alper Potuk sealed all three points for the home side with the goal of the evening in the second half.
Malki scored a consolation goal for Kasimpasa late on but it proved to be too little too late.
Stadium: Şükrü Saracoğlu
Referee: Bülent Yıldırım
Fenerbahçe: Volkan, Hasan Ali, Kjaer, Bruno Alves, Gökhan, Kadlec, Ozan Tufan, Diego, Volkan Şen, Nani, Van Persie
Manager: Vitor Pereira
Kasımpaşa: Ramazan, Veysel, Titi, Omeruo, Bozhikov, Pavelka, Castro, Tunay, Hakan, Del Valle, Adem Büyük
Manager: Rıza Çalımbay
Goals: min. 37 Diego, min. 45+2 Van Persie (penalty), min. 75 Alper Potuk (Fenerbahçe), min. 87 Malki (Kasımpaşa)