The United States’ top general on Monday warned Iran not to get involved in the crisis in Israel and said he did not want the conflict to the broaden, as Lebanese armed group Hezbollah fired a salvo of rockets onto northern Israel

The White House earlier on Monday said that Iran was complicit even though the United States has no intelligence or evidence that points to Iran’s direct participation in attacks in Israel by Palestinian Islamist group Hamas.

Asked what his message for Iran was, General Charles Q. Brown, the chairman of the Joint Chiefs of Staff, said: “Not to get involved.”

Israeli shelling on Lebanon killed at least three Hezbollah militants on Monday, and Israel said one of its officers was killed during an earlier cross-border raid claimed by Palestinians in Lebanon.

The cross-border violence marked a significant expansion of a conflict between Israel and Palestinian militants in Gaza to the Israeli-Lebanese border further north.