Wright played Emma Leroy on the hit Canadian series, which ended its six-season run in 2009 and returned with a big-screen adaptation in 2014.
Wright's character Emma was the wife of Oscar Leroy, played by Eric Peterson, and mother to Brent, portrayed by series creator and star Brent Butt.
Peterson, who had known Wright for 50 years, said she was "an incredibly, wonderfully complex woman of tremendous strength and intelligence and a wonderful actress."
"The wonderful thing about her as an actress -- especially in something like 'Corner Gas' -- she brought so much to that part as only Janet could. Even the simplest line, she thoroughly thought it through. She seemed to be able to give a straightforward line that was redolent with meaning. Often my character was the brunt of that redolent meaning too.
"I'm just very sad. We're the same age. One's reminded how short life is."
In a statement, Butt added "Janet was like no other person I've ever met."
"She had a giant wit, a giant heart, and was one of the strongest human beings to ever stride around this planet."
Born in England on March 8, 1945, Wright and her family relocated to Canada and eventually settled in Saskatoon at a young age.
Wright was the co-founder of Saskatoon's Persephone Theatre, and performed at virtually every major theatre company in Canada.
She had been affiliated with the Vancouver Arts Club Theater since the early 1970s, and also directed for many major theatre companies across Canada, including productions at Ontario's Stratford Festival.
"Janet was an artist on an uncompromising search for the truth in all its unvarnished beauty," said Stratford Festival artistic director Antoni Cimolino, who directed Wright as Ma Joad in the 2011 production of "The Grapes of Wrath."