His management company, GSE Worldwide, confirmed the death and said it was heartbroken.
"We will hold off on commenting until we learn further details, but out heart aches for his family, his friends and all who loved him during this very difficult time," GSE said in a statement.
Monahan said he spoke with Murray's parents to offer condolences, and they asked that the tournament in Fort Worth, Texas, continue.
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He said grief counsellors would be on site at the PGA Tour and Korn Ferry Tour event. Monahan said he was headed to Texas.
Murray, who had dealt with alcohol and mental issues in the past, made a massive turnaround this year and won the Sony Open, hitting wedge to three feet for birdie on the final hole to get into a playoff and winning it with a 40-foot putt.
He also won the Barbasol Championship in 2017.
Murray, who was number 58 in the world ranking, was coming off a tie for 43rd in the PGA Championship last week at Valhalla.
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