US President Joe Biden has condemned anti-Semitism after several people were taken hostage at a synagogue in the town of Colleyville, Dallas, and pledged to do everything to prevent "the rise of extremism" in the country.

"Let me be clear to anyone who intends to spread hate - we will stand against anti-Semitism and against the rise of extremism in this country. That is who we are, and tonight, the men and women of law enforcement made us all proud," Biden said in a White House statement on Sunday.