In a letter to Police Commissioner B S Bassi, Chief Secretary S K Srivastava has asked him to submit the report at the earliest.
The direction comes against the backdrop of a incidents of attacks on the residents of North-Eastern states and African nationals.
Sources said the government would monitor the police action in racist attack cases and seek such report from them from time to time.
Lt Governor Najeeb Jung has asked the police to fast-pace the probe in cases of racist attacks, they said, adding cases not only pertaining to racial attacks but any comment of racial nature would also be taken seriously by the government.
Nido Tania, a youth from Arunachal Pradesh had recently died after he was allegedly assaulted by some shopkeepers in Lajpat Nagar area. Following that a 14-year-old Manipuri girl was raped in Munirka area of South Delhi.
Former Delhi Law Minister Somnath Bharti was in the controversy after he allegedly headed a group of assaulter in a mid-night raid against some African women in Khirki Extension in January this year.