"It means everything to us to get it granted."
Planning agent Keith McClure, of Myplansdrawn, said: "They are Sri Lankan and they are looking to introduce Sri Lankan food to Darlington. It's not another hot food kebab takeaway. That was never the intention."
Thirteen objections had been made, addressing concerns including parking, road safety, the the volume of fast food outlets in the area, and noise levels.
A neighbour, who is disabled, also attended the meeting to express her concern about the impact on parking and her ability to access her home.
Councillor Anne-Marie Curry spoke on her behalf, as well as elderly residents living in a housing scheme behind North Road.