"Margaret is a much-loved multi award-winning member of the Australian and New Zealand music industry who captured hearts around the world as a gifted singer/songwriter with a unique voice and sense of style," the statement read.
"We thank you for respecting the privacy of her family and loved ones at this sad time."
Her cousin and fellow musician Peter Urlich told the Herald she was "the most beautiful woman, on the inside and out."
"Everyone always presumed she was my sister. 'How's your sis doing in Oz' they'd ask. In the end, I just gave in," he recalled, adding that she had inherited her passion for music from her father.
"She sang so effortlessly and with such soul and sass, she had her own sound. I was stunned when I first saw Peking Man because as a girl she was very shy. She developed a level of sophistication that marked her out.
"Marg was super stylish and she oozed confidence but underneath, she was a female who had to overcome her shyness to try to make it in a tough, male-dominated industry. But she was ambitious and determined. And she did it! When you look at her body of work from Room That Echoes to Escaping to Boy in the Moon, she absolutely had it all. I was a total fan and I'm very proud of her."
And her fans, colleagues and fellow artists have also shared their tributes to the musician online.
The Australian Recording Industry Association paid tribute from their official Twitter account to the ARIA-winning artist.
New Zealand-born Aussie television presenter Richard Wilkins also paid tribute to the artist, sharing his love for Urlich's family.
TVNZ's Breakfast host Indira Stewart paid tribute to Urlich's "unique vibrato and voice".
"Will never forget her rendition of 'I Don't Know How to Love Him' in Jesus Christ Superstar," she wrote on Twitter.
ZM host Cam Mansel wrote, "Rest in Peace Margaret Urlich thank you for your art."
- More to come.