A well known space scientist, Kasturirangan is former chairman of Indian Space Research Organisation (ISRO) while Swarup, a retired civil servant, had served as chairman of Pension Fund and Regulatory Development Authority (PFRDA).
Sources said that both names have been sent to capital market regulator Sebi for approval and formal announcement would be made subsequently.
According to sources, BSE expects that these two would bring depth and diversity to its board.
At present, BSE has six members including Non-Executive Chairman S Ramadorai. He is also the vice chairman of Tata Consultancy Services.
Except for Bendixen -- who is a shareholder director -- rest of them are public interest directors. The exchange's Managing Director and CEO Ashishkumar Chauhan is also a board member.
HDFC vice chairman and CEO Keki Mistry ceased to be a shareholder director on the BSE board from August 14.
During the tenure of Kasturirangan as chairman, ISRO saw the launch of the Polar Satellite Launch Vehicle (PSLV).
