Chowdhury and his driver were unhurt, Murshidabad SP Mukesh said.
The accident took place near Rejinagar check post around 3.10 pm when the former Union minister was going to Raghunathganj in the district from Kolkata.
A container coming from the opposite direction hit the side of his car on National Highway 34.
"I was sleeping and did not realise that my car was hit. I thank my driver as he did a great job, otherwise something bad could have happened," Chowdhury told PTI.
The driver of the container has been detained, the SP said. The container was also seized.
"We are conducting a probe into the matter and the culprit will face action as per law," the SP said.
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