The case was registered at Boat Basin Police Station on behalf of the woman.
She said some unknown armed men tried to kidnap her along with her children from the parking lot of the shopping centre located in Clifton.
However, the guards present at the scene intercepted and foiled the attempt.
Sources said that a son of a very influential personality is believed to be involved in the incident which is why police are reluctant to pursue the case and nobody has been yet arrested.
A CCTV footage of the incident shows there were five kidnappers, including a woman.