Canadian Prime Minister Justin Trudeau has led the tributes for singer, songwriter and poet Leonard Cohen, who has died aged 82.

Mr Trudeau said of his fellow countryman: "It is with deep sorrow that I learned today of the death of the legendary Leonard Cohen.

"A most remarkable Montrealer, Leonard Cohen managed to reach the highest of artistic achievement, both as an acclaimed poet and a world-renowned singer-songwriter.

"He will be fondly remembered for his gruff vocals, his self-deprecating humour and the haunting lyrics that made his songs the perennial favourite of so many generations.

Leonard Cohen is as relevant today as he was in the 1960s. His ability to conjure the vast array of human emotion made him one of the most influential and enduring musicians ever. His style transcended the vagaries of fashion ... His music had withstood the test of time.

"On behalf of all Canadians, Sophie and I wish to express our deepest sympathies to Leonard Cohen's family, friends, colleagues and many, many fans.

"Leonard, no other artist's poetry and music felt or sounded quite like yours. We'll miss you."

Neil Portnow, chief executive of the Recording Academy who honoured Cohen with a lifetime achievement Grammy in 2010, said: "We are deeply saddened to learn of the passing of Grammy Award winner and 2010 Recording Academy Lifetime Achievement Award recipient Leonard Cohen.

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"During an influential career that spanned more than five decades, Leonard became one of the most revered pop poets and a musical touchstone for many songwriters. His extraordinary talent had a profound impact on countless singers and songwriters, as well as the wider culture.

"We have lost a cherished artist and our sincerest condolences go out to Leonard's family, friends, and collaborators. He will be missed terribly."

A host of musicians and acts have also lavished praise on the late singer.

The official twitter account for the late Jeff Buckley, who recorded the most famous cover of Hallelujah, posted this simple tweet:

Former Rage Against the Machine guitarist Tom Morello said the artist was "one of the greatest, deepest and wisest to ever bless us with his songs".

Carole King simply tweeted: "R.I.P Leonard Cohen." while countryman Kiefer Sutherland said: "A brilliant Canadian artist passed today. Leonard Cohen, rest in peace. Hallelujah."

Canadian director Ron Howard tweeted: "One of my favorite singer-poets. RIP Legendary Musician Leonard Cohen."