"The shocking pre-meditated assault on the chief minister, the finance minister and other senior ministers of West Bengal in the national capital is an extremely unfortunate incident and a blot on India's cherished democratic values," the Governor said in a statement issued in Kolkata.
"This kind of attack on a democratically-elected chief minister, the finance minister and their cabinet colleagues is unprecedented in India's modern history and is serious enough to warrant a public apology by the politburo of the CPI(Marxist)," he said.
Narayanan said those responsible for the attack and their instigators have forfeited their right to function within a democratic framework.
The Governor also urged the ruling Trinamool Congress as well as others in the state to maintain calm.
Meanwhile, the TMC gave a call for a state-wide protest on Wednesday against Tuesday's incident in Delhi where Left activists targeted Banerjee and Mitra.
Party general secretary Mukul Roy said their protest would be peaceful and not in line with that of the CPI(M) under any circumstance.
He said party supremo and chief minister Mamata Banerjee has also appealed for peace in the state.