Secretary of State Condoleezza Rice, embracing an appointed Palestinian prime minister here in the West Bank, said Thursday that the United States still supported democracy in the Middle East. But she defended the American refusal to recognize the earlier, elected, Hamas-led government.

Standing next to Mahmoud Abbas, the Palestinian president, during a news conference here, Ms. Rice said, “We believe strongly in the right of people to express themselves and their desires, in elections.” But, she added, once elected, “ you have the obligation to govern responsibly.”

She said that the United States and other Western nations had been right to boycott Hamas and the elected Palestinian government. “You can’t have one foot in the path of terror and one foot in the path of politics,” she added.

Ms. Rice met with Salam Fayyad, the prime minister selected by Mr. Abbas after he ousted the Hamas-led government.

Mr. Abbas of Fatah has been seeking to consolidate his power since a June coup left the rival Hamas movement in power in the Gaza Strip. He has held out the prospect of new elections soon. He appointed Mr. Fayyad after firing the Hamas-led government of Ismail Haniya.

Hamas won a legislative majority in January 2006, but Fatah never agreed to accept it, and the United States and Israel refused to deal with Hamas, which they classify as a terrorist organization, unless it accepted Israel’s right to exist and agreed to give up violence.

Ms. Rice said it was up to the Palestinians to decide when to hold a new vote, but the Americans, like the Israelis, have told Mr. Abbas they will not accept a renewal of a unity government with Hamas.

Mr. Abbas said Thursday that he would not try to reconcile with Hamas unless they “reverse everything they did” and “apologize to the Palestinian people — then we might reconsider.”

It would be nearly impossible for Mr. Abbas to hold an early vote unless Hamas agreed to one. Mr. Abbas told Ms. Rice that he was ready to work with Israel on a “declaration of principles” as an interim step toward a full peace agreement, an idea floated last week by Prime Minister Ehud Olmert of Israel. Such a declaration, as envisioned by Israel, would outline the contours of a future Palestinian state, without immediately tackling the most explosive issues, like final borders and the fate of Palestinian refugees.

Mr. Abbas said Thursday that once such a declaration had been negotiated, “what is important is that we arrive at a result and that we know what that result is, what is the roof that we need to reach, but the stages of implementation can be agreed on later.”

Separately on Wednesday and Thursday, Ms. Rice met with Mr. Olmert and other senior Israeli officials to discuss plans for Mr. Bush’s fall conference on Palestinian-Israeli peace.

Her meetings in the West Bank ended a three-day swing through the region that included stops in Egypt and Saudi Arabia, where she pressed for Arab support for the conference.

Ms. Rice’s trip was the first high-level American visit to Israel and the West Bank since the Gaza takeover.

Since then, Mr. Abbas — and the world — have largely left Gaza to itself to be governed by Hamas, focusing aid and diplomatic efforts on the West Bank, where Mr. Abbas’s Fatah forces remain in control. The United States, Israel and the European Union have all welcomed the dissolution of the Palestinian government.

Mr. Bush quickly unfroze $86 million in aid, which was put into the deep freeze after Hamas won the 2006 elections. On Thursday, Ms. Rice signed a so-called framework agreement with Mr. Fayyad, which ostensibly released the first $10 million in aid. The money is intended to strengthen Mr. Abbas’s security forces.

A spokesman for Hamas in Gaza, Sami Abu Zuhri, criticized the Rice visit and the release of the aid.

“She came to incite one Palestinian side against another,” he said. “She came to provide $80 million to stamp out resistance forces. Rice did not come to the region to establish a Palestinian state, as she and her master Bush claimed, but instead she came to support one Palestinian party against another, and to support the Zionist occupation.”

In a statement, Mr. Olmert praised the Saudi foreign minister, Prince Saud al-Faisal, who said Wednesday that his country was leaning toward attending the Middle East meeting, but wanted it to be substantive. Mr. Olmert “shares the same approach, that the international meeting will be serious and meaningful, and he welcomes the participation of leaders of Arab countries in the meeting,” his office said.

But Israeli officials also emphasized that, unlike the Saudis, the Israelis believe that the core issues of the conflict should be discussed in a bilateral format with the Palestinians, rather than in an international framework that might make them more difficult to solve.

Foreign Minister Tzipi Livni said the most delicate issues should not be addressed immediately.

In Gaza City on Wednesday night, at least one Palestinian was killed when Hamas tried to arrest a member of Islamic Jihad after he fired into the air at a wedding.

Medical officials said that in subsequent clashes between Islamic Jihad and Hamas’s Executive Force, acting as the police, one Executive Force member was killed.