Nairobi Governor Mike Sonko has denounced "hooliganism" by some NASA supporters during their demonstrations on Wednesday.
Sonko issued a statement on Thursday, condemning the destruction of property "in the strongest terms possible".
"[This was] in the name of peaceful demonstrations," he said, adding "it is high time Nairobians are spared these demonstrations which have continued to impact negatively on our economy".
"I wish to, for once, plead with NASA supporters to conduct peaceful demos and allow Nairobians to carry on with their daily businesses without any hindrance."
Sonko said peace and order must be maintained at all times and that law breakers will be dealt with in accordance with the law.
"Whereas it's a constitutional right for every Kenyan citizen to picket, the looting and destruction of property, and even loss of innocent lives is abhorred by our constitution."
Revenue collection has hit a snag as police and protesters have engaged in running battles that have left some injured.
The Governor noted no law protects those determined to destroy other people's property and infringe on their right to earn a living.
He called upon all security agencies to move with speed, arrest and prosecute those behind looting.
NASA has sustained its weekly demonstration which as part of its push for reforms at IEBC before the repeat election on October 26.
Siaya Senator James Orengo said the mass action will take place daily from Monday.
The windows of several private cars parked at Cardinal Otunga Plaza were smashed as demonstrators ran away from police on Wednesday.
Crates of soda were also stolen from Antonio's Grill.
But Opposition politician Johnson Muthama said NASA supporters were not responsible for any destruction as police escorted them. He pointed the finger at the Nairobi Business Community.
Earlier today, the government banned demonstrations in the CBDs of Nairobi, Mombasa and Kisumu, citing security threats.
Acting Interior CS Fred Matiangi said the National Security Advisory Committee made the decision on Thursday morning.
He noted there have been more cases of looting and grave damage to public property.