It has also demanded immediate arrests of those responsible.
After the funeral prayer of Tawhidul Islam on the college campus around 11am Thursday, Sylhet metropolitan BNP president MA Haque announced the strike.
The first Namaj-e-Janaza was held at the mosque of the college.
Meanwhile, a nonstop strike, called by Chhatra Dal, is already being enforced at Osmani Medical College in protest at Tawhid’s murder.
A few young men hacked Tawhid at room number 1003 of Abu Sina dormitory on Wednesday evening.
He died undergoing treatment at the hospital. The BNP and its student wing Chhatra Dal put the blame squarely on Awami League’s student wing Chhatra League.
Tawhid’s uncle Anwar Hossain Matabbar filed a case at Sylhet Kotwali Model Police Station accusing a few unidentified people.
OC Ataur Rahman said no arrests were made until Thursday noon.