Inspector General of Police Joseph Boinnet has cleared Cord's request to hold protests against the IEBC on Monday and Thursday.
Mr Boinnet however, said officers deployed to offer security during protests will arrest anyone found breaking the law.
In a statement sent to newsrooms on Sunday, Boinnet said the protests will be expected to be peaceful and any acts of law breaking will not be entertained.
"The National Police Services wishes to acknowledge receipt of the notification from Cord coalition of their intended demonstrations countrywide on June 13 and 16, 2016," the statement signed by him read in part.
"On its part, the police will endeavor to provide the requisite security to the extent that is possible, and also warn that any attacks against any police officer and/or government facility will be dealt with in accordance with the law."
"We wish also to reiterate that the police will deal firmly with breaches of any law perpetrated by any person immediately before, during as well as after the demonstration(s) in any town in accordance with the law."
In Monday June 13's demonstrations, Cord, will be required to notify the police the time the demonstrations will begin and end highlighting specific routes the protesters will use.
Also, the opposition coalition, before the protests kick off will alert law enforcers the approximate number of protesters who will join the demos.
Besides, Cord, shall before the beginning of the demos communicate to the police the final destination and the venue of the public meetings as well as the routes the protesters will use to exit after the demos.
Cord on Wednesday announced the protests aimed at evicting IEBC commissioners from office will be held twice a week- Monday's and Thursday's.
The opposition coalition led by Raila Odinga, Kalonzo Musyoka and Moses Wetangula are leading countrywide protests aimed at disbanding and reconstituting the electoral body.
Government however, insists that the IEBC can only be disbanded through Parliament.
President Uhuru Kenyatta says he has no power to disband the polls body.