Almost 2000 people have signed a petition urging David Meikle to resign.
He waved the Israeli flag as civic leaders raised the Palestinian flag over the council HQ to show solidarity with those affected by the conflict in Gaza. Jewish communities reacted angrily to the flying of the Palestinian flag and said it would only stir up tensions and cause "offence and division".
Councillor Meikle accused council leaders of failing to condemn the actions of Hamas, the Islamic terrorist group which rules Gaza.
Angry residents hit out at his decision and the petition has already attracted more than 1,700 signatures.
It reads: "This petition calls for the immediate resignation of David Meikle from his position as Elected Local Councillor with Glasgow City Council representing the Ward of Pollokshields.
"His decision to fly the Israeli flag on Friday August 8, without any authority or formal consent from the top floor of the City Chambers, while the Palestinian flag was being officially raised on the approved authority and consent of The Lord Provost of Glasgow leaves us, the citizens of Glasgow with no option but to move a vote of No Confidence in his tenure as a local representative of the ward."