Chopra was born on 22 April 1914 in Rahon, Shaheed Bhagat Singh Nagar district (formerly Nawanshahr district) to Vilayati Raj Chopra, an employee of the PWD. He later shifted to Lahore. He was the second of several siblings; his youngest brother was filmmaker Yash Chopra.

Chopra received an M.A. in English literature from University of the Punjab in Lahore. He started his career in 1944 as a film journalist with Cine Herald, a film-monthly published in Lahore, he later took over the magazine and ran it until 1947. In the same year, he launched a film with a story by I. S. Johar, Chandni Chowk. Naeem Hashmi was hero of this movie and Erika Rukhshi was the heroine. Just as the production of film was to start, riots broke out in Lahore and he and his family had to flee from the city. After the partition of India into India and Pakistan in 1947, he moved to Delhi. He later moved to Mumbai, where his first production, Karwat, began in 1948, though it turned out to be a flop. His first film as a director, Afsana, was released in 1951 and featured Ashok Kumar in a double role – the film was a hit and established his name in Bollywood. Chopra made Chandni Chowk, with Meena Kumari as a lead, in 1954. In 1955, Chopra formed his own production house, B.R Films. His first movie for this production house was Ek hi Raasta which was highly successfulhe followed it up with Naya Daur (1957) starring Dilip Kumar and Vyjayantimala Bali, the film became a golden jubilee hit. His subsequent releases like Kanoon, Gumrah, Humraaz were major hits in the sixties. In 1963, he was a member of the jury at the 13th Berlin International Film Festival. His second film with actor Dilip Kumar was Dastaan which became a flop in 1972.

Chopra was instrumental in developing the career of singer Mahendra Kapoor, whom he employed in most of his movies. (Director-producer Yash Chopra cast Mahendra Kapoor’s son in Faasle.) One prominent thing about B. R. Chopra is the relatively low number of songs sung by Lata Mangeshkar and Mohammed Rafi in his films, with Asha Bhosle and Mahendra Kapoor being his preferred singers. The reason behind this was never revealed by him or the singers. Incidentally, both Chopra and Kapoor died within a gap of little longer than a month in 2008, with the latter dying first.

He died in Mumbai at the age of 94 on 5 November 2008, survived by his son, Ravi Chopra, and two daughters Shashi and Bina.