The lecture was scheduled to take place at a private college in South Mumbai.
Swamy was featured as the main speaker of the programme, titled "Emergency-Lessons for the Future", to which Maharashtra BJP chief Raosaheb Danve and Mumbai city chief Ashish Shelar along with other leaders were invited.
Asked why the meeting was cancelled, a senior BJP functionary said "due to unavoidable reasons Swamy was not in a position to come to Mumbai on Sunday and hence meeting was cancelled."
He, however, did not disclose the reason for it.
Very recently, Subramanian Swamy had hit out at Finance Minister Jaitley, Chief Economic Advisor Arvind Subramanian and Economic Affairs Secretary Shaktikant Das. His remarks reportedly not gone down well with the BJP.