Dennis Farina died in Scottsdale, Arizona, after developing a blood clot in his lung, publicist Lori De Waal said.
The actor was recently known for his role as police detective Joe Fontana on New York-based cop show Law and Order.
Dennis Farina also appeared as a mobster in action comedies such as Midnight Run (1988) and Get Shorty (1995).
He is survived by his partner of 35 years, Marianne Cahill, three sons and six grandchildren.
Dennis Farina appeared as Joe Fontana during the 2004-6 seasons of Law and Order, among other television appearances.
He acted on the series Crime Story during the 1980s and most recently, starred alongside Dustin Hoffman in an HBO programme called Luck.
Dennis Farina’s first credited role was as a minor character in the 1981 Michael Mann film Thief.
He also appeared in Saving Private Ryan and Out of Sight, and was a mainstay of the Chicago theatre scene.
Dennis Farina was born in Chicago on 29 February 1944 and became an actor when he was almost 40, after spending many years as a Chicago police detective.
In a 2004 interview with the Associated Press, Dennis Farina recalled his first day of work as an actor.
“I remember going to the set that day and being intrigued by the whole thing,” Dennis Farina said.
“I liked it. And everybody was extremely nice to me. If the people were rude and didn’t treat me right, things could have gone the other way.”
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