Several thousands of banned fireworks were seized by the police from the city before the festivities.
As many as 1,965 people were arrested in two days from different areas of the city during Kali Puja and Diwali celebrations, police said on Wednesday.
While 1,190 people were arrested on the charge of offences such as burning banned fireworks, disorderly conduct and gambling on Sunday when Kali Puja and Diwali were celebrated, 775 were nabbed the next day on similar grounds, the officer said.
Kolkata Police had deployed around 5,000 policemen across the city to keep a vigil for the Kali Puja and Diwali celebrations.
It had appealed to the people not to burst the 126 varieties of firecrackers banned by the state Pollution Control Board.
Several thousands of banned fireworks were seized by the police from the city before the festivities.