While the BSE will conduct the sessions in currency and equity derivatives and equity segments, the rival NSE will do so in futures and options and capital market space.
The two bourses separately said they will conduct the sessions on Saturday, May 6.
The move is part of BSE's efforts to provide its members with a "robust and efficient system for trading with better features".
"Trading members shall ensure all user-IDs approved for algorithmic trading, irrespective of the algorithm having undergone change or not, shall participate in the mock trading session," the BSE said.
"Trading members using third-party trading platforms can also test their respective trading application during the session for various functionalities, including exceptional market conditions," the BSE added.
The Securities and Exchange Board of India (Sebi) guidelines require stock exchanges to conduct mock trading on a monthly basis to test trading and risk management related systems and applications.