Maritime ports of Chittagong, Cox's Bazar, Mongla and Payra have been advised to hoist local cautionary signal number three.
Met office issued the warning message on Monday morning.
A deep convection is taking place over the North Bay and adjoining West Bengal and Bangladesh coast, the message reads.
Squally weather may affect the North Bay, adjoining coastal areas of Bangladesh and the maritime ports, it also says.
All fishing boats and trawlers over North Bay have been advised to come close to the coast and proceed with caution till further notice.