The two bourses separately said they will conduct mock trading sessions on Saturday, March 4, 2017.
In three separate circulars, BSE said the mock trading would be held for the equity, equity derivatives and currency derivatives segments.
The move is a part of BSE's efforts to provide its members with a robust and efficient system for trading with better features.
NSE would be conducting mock-trading session to test the system performance in the capital market, currency derivatives and Futures & Options (F&O) segments, it said in separate circulars.
"Trading members using third party trading platforms can also test their respective trading application during the session for various functionalities, including exceptional market conditions," BSE added.
Algorithmic trading refers to high-frequency and automated execution of trades on the stock exchanges through pre- programmed software platforms installed on servers.