Hull City will receive £2.2m million for the transfer according to the BBC.
The Tigers tweeted the following message following the transfer: “Hull tweeted: “Everyone wishes Dame all the best for the future and thank him for his efforts at the club.”
The 30-year-old striker signed a three-year deal today with the Black Sea based outfit for an unreported fee.
N’Doye underwent his medical and was officially unveiled as a Trabzonspor play in a signing ceremony held at the club headquarters.
The Senegal international will be replacing forward Majeed Waris who parted ways with the club last week and joined Lorient on a four-year deal.
Trabzonspor have had a busy summer bringing in AZ Alkmaar goalkeeper Esteban Alvarado, Okay, Alper, M’bia and Cavanda over the transfer window.
The Black Sea based side finished last season in fifth place and are currently managed by Shota Arveladze.
N’Doye provided one assist and scored five goals in 15 Premier League appearances for Hull City last season.