They also demanded setting up of fast-track courts to deal with pending cases of sexual assault.
A delegation, led by CPI(M) Polit Bureau member Brinda Karat, met Mukherjee at Rashtrapati Bhavan and handed over a memorandum to him in this regard.
"Action should be taken against top police officials, including the Police Commissioner, who have wilfully failed to implement the guidelines and directions set out for security in the capital for women," the members of the delegation said.
"There must be standard operating procedures for any crime against women which include immediate registration of an FIR and a speedy time-bound investigation and filing of case before the court.
"Any police official violating the standard operating procedures should be punished. Senior police officials must be mandated to monitor security measures as well as implementation of standard operating procedures," they said.
The delegation included Annie Raja (NFIW), Kirti Singh and Sehba Farooqui (AIDWA), Beena Jain (AIWC), Dr Indu Agnihotri (Centre for Women