Light to moderate rain is likely to occur over Dhaka, Rangpur, Mymensingh and Sylhet divisions on Tuesday.
The same situation may continue for three more days, Bangladesh Meteorological Department said.
The cold wave, which started on January 13 across the country, ended on Tuesday.
Day temperature may persist and night temperature may increase by 1 to 3 degree Celsius in the next 24-hour starting from 9 am, the Met office said.
Moderate to thick fog may occur across the country during a period from midnight to morning and it may continue elsewhere in the country till noon, it added.