"The US ambassador in Tel Aviv is a settler and a son of a dog," Abbas said in comments to Palestinian leaders in Ramallah.
Relations between Abbas's government and President Trump's US administration have broken down since the White House recognised Jerusalem as Israel's capital in December.
The Palestinians also see the disputed city as the capital of their future state.
Friedman, who was Trump's personal lawyer before being appointed last year, is a longstanding supporter of settlement building in the occupied West Bank, considered illegal under international law.
"Such brutality and no condemnation from the PA!" he tweeted, referring to a Friday car ramming that killed two soldiers and a Sunday stabbing in Jerusalem that left an Israeli dead, both carried out by Palestinians.
Israel has militarily occupied the West Bank since 1967 but Abbas's government has limited autonomy in parts of it.
(This story has not been edited by NDTV staff and is auto-generated from a syndicated feed.)
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