The college had its origin as the extension wing of the Khallikote College, Berhampur, during the session 1978-79 with the facility of imparting instructions up to Intermediate classes in Arts and Commerce. The main purpose of the Extension Wing was to cater to the academic needs of a large number of candidates who could not get admission in the parent college. It was then housed in one part of the building of the Municipal High School situated at Aska Road, at a distance of about 5 kilometers from the parent college.

The extension wing was elevated into a full fledged independent institution from the session 1981-82 when it was separated from the Khallikote College and was named as Government College, Berhampur. In the session 1984-85 in reference to the loving memory of late Sri Binayak Acharya, the former Chief Minister of Odisha, the College was renamed as Binayak Acharya College, Berhampur.

The College functioned from its inception in the Municipal Boys’High School, Aska Road till 31st October 1989. Then it was shifted to its own building at Haridakhandi of Berhampur Municipal Corporation.

The college is accredited with ‘ B ‘ grade by NAAC during the session 2016-17.