Yes, unless it falls on a weekend, the stock market is open on Christmas Eve (December 24th) but closes early at 1PM EST. Can the Stock Markets Be Closed Any Other Trading Days? Yes, NYSE and NASDAQ and other exchanges can be closed on what would normally be a trading day. Which Stores Are Open Late on Christmas Eve 2020? A list of stores that are open late on Christmas Eve for all your last-minute holiday shopping. Includes holiday hours for Walmart, Target, and more. Pharmacies are a great place to stock up on not only medicine and personal care items, but also on some last-minute gifts and goodies for the stockings.