The Scott Turner in this show is the son of the character in the original film. There are several references to the original dog named Hooch, proving this show takes place many years after the first dog died.
The series serves as a continuation of the 1989 film.
A pilot for a Turner & Hooch (1990) television series was filmed, starring Tom Wilson - of Back to the Future (1985) fame - and Wendee Pratt. It aired on the The Magical World of Disney (1988) but the series was not picked up.
Each episode title is a play on a well-known movie title.