He charged Deputy Chief Minister Sukhbir Singh Badal and state police with giving protection to "criminals and goonda elements".
However, ruling SAD rubbished the allegations, saying it does not behove a leader of a responsible party to make such "irresponsible" statements.
SAD accused the Congress of making "baseless" statements, intended to vitiate the peaceful atmosphere in the state.
Bajwa cited recent incidents including firing on a bus belonging to a senior Congress MLA Ashwani Sekhri in Batala, Bathinda jail firing and attack on Shiv Sena leader Harvinder Soni in Gurdaspur to allege "failure" of the police to maintain law and order in the state.
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When contacted SAD general secretary and spokesman Prem Singh Chandumajra dubbed Bajwa's statements against SAD and Sukhbir Badal as "irresponsible", saying SAD never indulged in such politics.
"People of Punjab want peace and development. But Congress is making irresponsible statements deliberately to disturb peace and tranquillity in the state," he said, adding that it has always been the intention of the opposition party to tarnish the image of Punjab by making baseless statements.