Stewart cancelled his Tuesday night performance at Rocket Arena in Cleveland after postponing his Sunday concert in Cincinnati at Riverbend Music Centre.
The latter venue said at the time that it was due "to an unforeseen but minor medical procedure that required prompt attention."
Stewart also cancelled a few dates earlier this year, including two in Las Vegas and one in San Diego.
"Following further medical evaluation, Sir Rod Stewart has successfully undergone a routine coronary stent procedure. Doctors are pleased with his recovery, and Rod is doing very well and has returned to his normal daily activities," a statement from his publicist read.
"On the advice of his doctors, he will take the next four weeks to recuperate and regain full fitness before returning to the stage. Unfortunately, this means he will be unable to continue his current tour dates."
It added "information regarding affected performances will be communicated by the respective promoters and venues."
Stewart, 81, was scheduled to appear through September 3 in North America, including his six-night residency at The Colosseum at Caesars Palace in Las Vegas and a few dates in Mexico.
"I'm already feeling better and very much on the mend. I want to thank the doctors, nurses and everyone who has taken such wonderful care of me," the singer said in the statement.
"I'm deeply disappointed to miss these shows and sorry to let my fans down, but I look forward to getting back on stage and having a good time with you all again soon."
The Grammy Award-winning Stewart, whose signature rasp made him a rock 'n' roll legend, has sold millions of records across many decades. Best known for hits like Maggie May and Tonight's the Night, he has been inducted into the Rock & Roll Hall of Fame twice.
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