AMMAN, Jordan — Secretary of State Mike Pompeo, speaking in Jordan at the end of a four-day, four-nation tour through the Middle East, expressed support on Monday for Israel and its response to weekly protests in Gaza that have left dozens of people dead.

“We do believe the Israelis have the right to defend themselves, and we’re fully supportive of that,” he said at a news conference with Ayman Safadi, the Jordanian foreign minister, when asked about the protests.

Mr. Pompeo, the former C.I.A. director who headed overseas almost immediately after he was sworn in as secretary of state on Thursday, also refused to fully endorse the two-state solution, the longtime policy of the United States before the Trump administration, to the Israeli-Palestinian conflict.

“With respect to the two-state solution, the parties will ultimately make the decision about what the right resolution is,” he said. “We’re certainly open to a two-party solution as a likely outcome. We certainly believe the Israelis and Palestinians need to have political engagement. We urge the Palestinians to return to that political dialogue.”