"The DMM model, unique to the NYSE, provides an irreplaceable safeguard to investors and listed companies and is proven to lower volatility for individual stocks," NYSE group president Tom Farley said Tuesday in a statement.

"This is especially critical during complex market events, such as IPOs and the start of trading each day."

As part of the transaction, GTS will become the DMM for more than 1,200 listed securities. GTS said in a statement that "virtually all of the Barclays DMM floor team are expected to join GTS as part of the transaction."

The NYSE also has so-called supplemental liquidity providers, which are electronic, high-volume traders that are incentivized to buy and sell stocks to add liquidity. The high-speed firms Hudson River Trading, Latour Trading, and Tradebot Systems are SLPs, along with investment banks like Goldman Sachs and Bank of America Merrill Lynch.

The NYSE is a relative throwback in that it still uses human traders to set the price of shares early on. Other exchanges use computers to do it.

The role of DMM came under scrutiny late last year, when markets went haywire in late August. One of the NYSE's biggest rivals, as well as electronic-trading firms that do business on the exchange, criticized the way it handled the swings in the market that week.

In a statement, Joseph Mecane, managing director in the electronic equities and credit products business at Barclays, said the bank continued to believe in the DMM model.

"However, with the evolving market structure, we also believe that a firm specializing in the technology of market making, such as GTS, is best suited to enhance the NYSE DMM business," he said.