The striker who completed a loan move from United Arab Emirates outfit Shabab Al Ahli in January continued with his scoring form from their previous two games to put his side ahead before the half-hour mark.
The Senegal international converted from a Baris Yardimci cross before Ertugrul Ersoy doubled their lead in the 35th minute.
In the 89th minute, Adis Jahović - who replaced Samuel Eto’o before the restart - pulled one back from the penalty spot for the visitors after Nigeria defender William Troost-Ekong, shortly after his introduction, committed a foul in the area.
Sow, making his ninth Super Lig appearance, was taken off in the 63rd minute while Shehu Abdullahi was on from start to finish and earned a yellow card for his troubles.
Mali striker Mustapha Yatabare came on for the visitors in the second half and also earned a caution.
Bursaspor are now 11th in the Turkish top-flight log and face Fenerbahçe in their next encounter on May 5.
