Police say they were pelted with rocks, glass bottles and fruit after opposing sides of migration protests clashed in "unacceptable" scenes.

Victoria Police officers used flashbangs, pepper spray and rubber bullets to try and control crowds after a protest against what organisers call mass migration brought strong numbers to Melbourne's CBD.

Superintendent Wayne Cheeseman said people from a counter protest, dubbed 'United Against Racism: Migrants and Refugees Are Welcome', were "desperately" trying to reach the other demonstration and confront those assembled.

Two police officers were hospitalised. One female sergeant was suspected to have suffered a broken hand, while a male senior constable sustained a laceration to his leg.

Other officers had their protective shields cracked due to

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