"We have carried out all necessary tests, including a cardiac catheterisation, and the results are all normal," Said Sarahneh, director of the Istishari Hospital in Ramallah said.
"The president will leave the hospital within two hours," he said on Thursday afternoon.
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Catheterisation involves the insertion of a thin tube into blood vessels.
Official Palestinian news agency WAFA, citing a presidency spokesperson, confirmed Abbas was at the hospital for tests.
Palestine Liberation Organisation secretary general Saeb Erekat said tests so far confirmed Abbas was in good health.
The longtime Palestinian leader last week attended the funeral of Israeli ex-president and Nobel Peace Prize winner Shimon Peres.
Abbas had negotiated with Peres, who died at 93, and signed the Oslo peace accords of the 1990s along with him.
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