"One gets the impression that someone is trying to sabotage the excellent intelligence cooperation between the United States and Israel," state-owned Channel One TV and army radio quoted him as saying.
"In all my meetings with US intelligence chiefs and the political officials who are responsible for them, I have not heard a single complaint about Israeli spying on the United States," he added.
Newsweek magazine on Thursday said that during a 1998 visit to Israel by then US vice president Al Gore a Secret Service agent surprised an intruder emerging from an air duct in Gore's room, before his arrival.
The agent "kind of coughed and the guy went back into the vents", he said.
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It was Newsweek's second story on the topic this week.
On Tuesday it alleged that Israel spies on the United States more than any US other ally does, and that these activities have reached an alarming level.
The main targets are American industrial and technical secrets, the weekly said, quoting classified briefings on legislation that would make it easier for Israelis to get US visas, the Tuesday report said.
An Israeli army radio presenter today speculated that the allegations could be calculated to torpedo renewed Israeli attempts to get Pollard freed.
He quoted Steinitz as saying that on Tuesday he would meet US Senate Intelligence Committee chair Dianne Feinstein to discuss the reports.