The LAPD is looking for the instigators of violence around the pro-Palestinian encampment last Tuesday night ... and one of the pro-Israel groups is pointing fingers at the other side for making things physical.

The Israeli American Council helped to organize pro-Israel counter protests last Sunday ... That's the rally where the first fights broke out.  

Council chief executive Elan Carr explained why he initially brought his group to UCLA last weekend.

Carr insists neither he, nor any pro-Israel protesters, condone violence ... 

But at the same time, he indicated that Jewish groups had reached their limit with the pro-Palestinian side.

Carr was clear where he laid the blame for violence that broke out at UCLA.

Carr promised the Israeli American Council will continue to show up to pro-Palestinian encampments for counter protests on college campuses ... or anywhere else they might pop up.