The campaign 'Mumbai Ke Liye 1 Minute' appeals citizens to take out one minute to look around and inform police if they spot anything suspicious.
The drive was launched in association with ICICI bank, which sponsored Rs 1.50 crore for the purpose.
"The government and police are doing their best to ensure security in the city. However, we also appeal to the citizens to be alert. Many people want to help police but they do not know in which manner they can help the security agencies," Patil said.
"Mumbai is the financial capital of the country and the border enemy is spreading terrorism in India. Hence we need to be alert to foil any attempts by our enemy and terror organisations," the minister added.
Mumbai Police Commissioner Satyapal Singh recounted how a bomb-laden bag was lying unattended inside the German Bakery in Pune for nearly 86 minutes but nobody bothered to take a serious note of it.
On February 13, 2010, a bomb exploded at the famous eatery in Pune, killing 17 people, and injured at least 60.
On the occasion, the top cop compared the police job with that of a football goal-keeper.
"If goal takes place then the goal keeper finds himself in the midst of the criticism. However, when he stops goal, he doesn't not draw much praise. Likewise, police prevent a number of possible terror attacks, rapes, murders and many other things. But anything untoward happens, they are severely criticised," the police chief said.