The weather office advised maritime ports of Chattogram, Cox's Bazar, Mongla and Payra to keep hoisted local cautionary signal No 3 on Tuesday.
It also asked fishing trawlers and boats to remain close to the coast until further notice.
Due to strong monsoon and steep pressure gradient over the North Bay, squally weather may hit the maritime ports, North Bay and adjoining coastal areas of Bangladesh, said a met office bulletin.
Meanwhile, light to moderate rain or thundershowers accompanied by temporary gusty wind is likely to occur at most places over Rangpur, Khulna, Barishal, Chattogram and Sylhet divisions, at many places over Dhaka, Mymensingh and Rajshahi divisions with moderately heavy to heavy falls at some places over the country, said a met office release.
Day and night temperature may remain nearly unchanged all over the country.
The axis of monsoon trough runs through Rajasthan, Haryana, Uttar Pradesh, Bihar, Gangetic West Bengal to Assam across central part of Bangladesh. Monsoon is fairly active over Bangladesh and strong over North Bay.
Maximum temperature in country on Monday was recorded 33.9 degrees Celsius at Sylhet and Srimangal and lowest temperature today 24.5C at Teknaf.
Maximum rainfall for the last 24 hours till 6am today was recorded 67millimeters (mm) at Teknaf.
The sun sets at 06:50pm today and rises at 05:17am on Wednesday in the capital.