A little-known New York-based company called OpenMatch Holdings LLC has agreed to acquire the 130-year-old National Stock Exchange and plans to reopen it for trading, according to people familiar with the matter.

The Jersey City-based NSX, which is part-owned by the CBOE Stock Exchange closed down at the end of May amid low trading activity. It handled roughly 13 million shares on its last day of operations, or about 0.2% of stocks traded. The CBOE Stock Exchange is owned by CBOE Holdings, the Chicago-based options exchange operator, and several brokerages.