On the second day of the general body meeting, BJP councillor Man Pandit compared the development done during the term of the current BJP mayor with those during the previous Congress mayor's regime which annoyed Congress councillors.
"If I start telling you what your predecessors did, you will be ashamed," said Mr Pandit.
A heated argument ensued and the Congress councillors rushed to the centre shouting slogans against the BJP which led to a small fight.
Amid the chaos, Congress Councillor Suman Gurjar allegedly threw a slipper at the mayor, but it did not him and fell near his podium.
Congress councillor Mohan Meena accused Mr Pandit of "passing derogatory remarks" against the Congress members and said it evoked a "strong opposition".
"Pandit's remarks on the Congress members were derogatory and objectionable and therefore, we protested," he said, adding that the Congress councillors have demanded action against the BJP member from the mayor.
The meeting had to be adjourned and the councillors separated. It resumed after a while.
Development in the wards and transportation of waste are two of the main issues on the agenda of the stormy meeting which began on Monday.