Co-presenter Lucy Meacock, who worked alongside Morris on the show, said he "brightened up the whole of the North West for 17 years".
"He was without doubt one of the most humble, kind and funny people I have ever met, and he would often make me laugh till my sides ached," she said.
"I am so very, very sad and my heart goes out to his daughters Nat and Becky."
She added: "A smile from Tony Morris always brightened everyone's day and certainly brightened up the whole of the North West for 17 years."
During a distinguished career, Morris helped Granada Reports become the first regional news programme to win a Bafta, for his and Meacock's coverage of the Morecambe Bay Cockle Picking tragedy,
They achieved the feat again in 2013, for their reporting of the Independent Panel into the Hillsborough Disaster.
'Brilliant presenter and journalist'
Lucy West, head of news at Granada Reports described him as "a remarkable man" and "a brilliant presenter and journalist who could disarm the most challenging of guests".
Writing on Twitter, Morris's daughter Natalie said: "He was more than a parent, he was also our best friend. We are utterly heartbroken, but so grateful for the time we had with him.
"We will be offline with family for a while, but so appreciative of the lovely messages."
Known for his big, booming laugh, Morris shared on-air jokes with the likes of northern comic idols Peter Kay and Vic Reeves.
Prior to joining Granada Reports in 2003, Morris worked on the BBC's North West Tonight.
He also hosted BBC Two's late-night comedy show Blouse and Skirt which helped give wider exposure to black comedians such as Felix Dexter and Gina Yashere.
West said there would be a special programme at 18:00 BST on Monday to pay tribute to their late colleague.
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