"The big question is -- if I lived in Gaza would I fire a rocket? -- probably yes," Liberal Democrat member of parliament David Ward said on Twitter.
The Board of Deputies of British Jews called on Liberal Democrat leader Nick Clegg, the deputy prime minister, to suspend Ward once again from the junior party in Britain's governing coalition.
Ward has previously been suspended from the centrist party following remarks about Israel and the Jews.
The Liberal Democrats condemned his tweet and said that given what it called a "categorical apology" from Ward, a meeting would be held between the chief whip and the MP.
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Ward had followed up his initial tweet with another saying: "Ich bin ein Palestinian -- the West must make up its mind -- which side is it on?"
After facing criticism from across the political spectrum over his rockets tweet, and telling the BBC he understood the mindset of people in the Gaza Strip, the MP issued a statement saying: "I utterly condemn the violence on both sides in Israel and Gaza.
"I condemn the actions of Hamas, and my comments were not in support of firing rockets into Israel. If they gave the opposite impression, I apologise.
"I can understand their plight and desperation."
The 16-day conflict has claimed the lives of more than 670 people in Gaza and more than 30 in Israel, which says it is acting to stop the Hamas Islamist movement firing rockets over the border.