The move comes after the exchange received complaints that callers impersonating as registered clients of trading members place orders for illiquid stocks with them by providing the required details, BSE said in a circular.
BSE advised trading members to exercise "extra caution" and due-diligence at their end while executing trades on behalf of their clients.
Illiquid stocks are those that cannot be sold easily because they see limited trading. These stocks pose higher risks to investors because it is difficult to find buyers for them as compared to frequently traded shares.