WASHINGTON — President Obama, speaking Sunday to the nation’s foremost pro-Israel lobbying group, repeated his call for Palestinian statehood based on Israel’s pre-1967 borders adjusted for land swaps, issuing a challenge to the Israeli government to “make the hard choices that are necessary to protect a Jewish and democratic state for which so many generations have sacrificed.”

In his remarks to the American Israel Public Affairs Committee, the President, while offering praise for the relationship with Israel, did not walk back from his speech on Thursday.

Those remarks had infuriated Israeli Prime Minister Benjamin Netanyahu.

Rather, Mr. Obama took indirect aim at Mr. Netanyahu, first by repeating what the Israeli prime minister so objected to — the phrase pre-1967 borders — and then by challenging those who he said had “misrepresented” his position.

“Let me repeat what I actually said on Thursday,” Mr. Obama said in firm tones, “not what I was reported to have said.”

“I said that the United States believes that negotiations should result in two states, with permanent Palestinian borders with Israel, Jordan, and Egypt, and permanent Israeli borders with Palestine. The borders of Israel and Palestine should be based on the 1967 lines with mutually agreed swaps, so that secure and recognized borders are established for both states.”

The President emphasized the “mutually agreed swaps,” then went into an elaboration of what he believes that means.

Mr. Netanyahu, in his critique of Mr. Obama’s remarks, had ignored the “mutually agreed swaps” part of the President’s proposal.

“Since my position has been misrepresented several times, let me reaffirm what ‘1967 lines with mutually agreed swaps’ means,” Mr. Obama said.

“By definition, it means that the parties themselves — Israelis and Palestinians — will negotiate a border that is different than the one that existed on June 4, 1967. It is a well-known formula to all who have worked on this issue for a generation. It allows the parties themselves to account for the changes that have taken place over the last 44 years.”

“There was nothing particularly original in my proposal,” he said. “This basic framework for negotiations has long been the basis for discussions among the parties, including previous U.S. administrations.”

Mr. Netanyahu’s furious reaction last week to what many administration officials viewed as a modest compromise from the more dramatic, all-encompassing U.S. peace plan some of Mr. Obama’s advisers had been advocating infuriated the White House.

In particular, administration officials were angered by Mr. Netanyahu’s lecturing tone during statements the two leaders gave Friday.

U.S. officials also were irritated by Mr. Netanyahu’s statement directly after Mr. Obama’s speech that used the phrase “expects to hear” in saying that Mr. Netanyahu expected to hear certain assurances from Mr. Obama during their meeting.

Mr. Obama also assured the group that his administration was steadfast in its “opposition to any attempt to de-legitimize the state of Israel,” but he warned that Israel would face growing isolation without a credible Middle East peace process.

Sunday’s audience, which had been quiet, cheered Mr. Obama, although the cheers were far more muted than the standing ovation they had given at other points of his speech, such as when he talked about Iran and when he reiterated his opposition to a looming U.N. vote on Palestinian statehood.

“I know very well that the easy thing to do, particularly for a president preparing for re-election, is to avoid any controversy,” Mr. Obama said. “I don’t need Rahm” — former chief of staff Rahm Emanuel — “to tell me that.”

But, Mr. Obama added, “as I said to Prime Minister Netanyahu, I believe that the current situation in the Middle East does not allow for procrastination. I also believe that real friends talk openly and honestly with one another.”

Others close to the administration have also pushed back against the notion that Mr. Obama was signaling a major shift in U.S. policy on Thursday.

“No, he wasn’t,” said his newly departed special envoy to the Middle East, George Mitchell, when asked that question Sunday.

“The President didn’t say that Israel has to go back to the ‘67 lines,” Mr. Mitchell said on ABC’s This Week. “He said ‘with agreed swaps.’ Those are significant.”

He continued, “‘Agreed’ means through negotiations; both parties must agree. There’s not going to be a border unless Israel agrees to it, and we know they won’t agree unless their security needs are satisfied.”

Mr. Obama’s speech Sunday was quietly delivered and lasted 20 minutes, and at the end, the packed hall at the Washington Convention Center stood up for Mr. Obama and clapped — some even cheered.

There were no boos or hisses, as some of the President’s allies had feared.

First Published May 22, 2011, 3:29 p.m.