"I have dealt with alcohol abuse and depression for some time now," he wrote on Twitter on Tuesday.
"I thought I could control it, but after multiple relapses I have come to realise that I can't fix this on my own.
"I will be taking an indefinite leave from the PGA Tour to deal with these issues. I don't know when I will be back."
Kirk, who turns 34 on Wednesday, was ranked as high as 16th in the world in 2015.
He is currently ranked 188th in the world.
(Reporting by Andrew Both in Cary, North Carolina, editing by Pritha Sarkar)
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