Mr. Blinken appeared later on Tuesday before the Senate Appropriations subcommittee, which oversees diplomatic and foreign aid spending.
He returns to Capitol Hill on Wednesday for two more testimonies during hearings of the Republican-led House Foreign Affairs Committee and a House Appropriations subcommittee.
Republicans criticized Biden for saying this month that he would delay a shipment of bombs to Israel and consider stopping others if Israeli forces were to launch a major invasion of Rafah.
Billions of dollars in US military aid is still in the pipeline for the government of Prime Minister Benjamin Netanyahu.
Republicans also called for action in response to the International Criminal Court prosecutor's announcement Monday that he had requested arrest warrants for Mr Netanyahu and his Minister of Defense on alleged war crimes in the Gaza conflict. The prosecutor, Karim Khan, also requested arrest warrants for three Hamas leaders.
Mr. Blinken said the Biden administration would like to work with Congress to formulate a response to what he called “a completely wrong decision” regarding the arrest warrants for Israel's leaders.
Also included is Democratic Senator Ben Cardin, chairman of the foreign relations panel criticism of the ICC.
“I see it as a step in the wrong direction,” Cardin said.