Biden said alongside Zelenskyy that there was "no alternative" to backing the Ukraine funding.
UN says more than seven million people have left Venezuela as the oil giant's economy has collapsed under President Nicolas Maduro.
Venezuela's President Nicolas Maduro praised the operation as great success in the fight against criminal organizations.
Zelenskyy called on the United Nations to vote to end Russia's veto power on the Security Council.
A major part of the package will be $110 million for Nepal, where the regime has been stabilizing since a peace deal in 2006 ended a civil war .