The incident occurred in South Setauket on Saturday, March 9.
According to Suffolk County Police, the woman used a credit card, which had been reported stolen by a Smithtown woman, to purchase a laptop valued at $1,954 from Best Buy, located at 261 Pond Path, on March 9.
The woman fled the store in a gray minivan.
Suffolk County Crime Stoppers offers a cash reward for information that leads to an arrest.
Anyone with information about the incident can contact Suffolk County Crime Stoppers to submit an anonymous tip at 1-800-220-TIPS or online at www.P3Tips.com.
All calls, text messages, and emails will be kept confidential.
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