The Israeli military ordered people to evacuate the building roughly an hour before the strike, with no immediate explanation for why the building was targeted. It comes after a week of escalating violence in the area with more than 130 fatalities.
Huge crowds of protesters arrived outside the gates of the Israeli embassy on Saturday, as marches of solidarity were held worldwide.
The bank has advised customers they can access cash from other banks’ ATMs, while online payments are down.
England, Scotland and Wales are due to take their biggest step out of lockdown on Monday, with Northern Ireland due to ease restrictions a week later.