Times Supermarkets was founded in 1949 by brothers Albert and Wallace Teruya, sons of Okinawan immigrants.

[5] In 2009 Times acquired another Honolulu-based supermarket chain, Star Markets, from the Fujieki family,[6] giving them more locations in the Honolulu area.

[9] On June 28, 2017, PAQ, which operated Times, Big Save, and Shima's under the subsidiary QSI, Inc., announced that it has sold the stores to the Honolulu-based division of Tokyo-based Don Quijote Holdings Co., Ltd, using an executed a stock purchase agreement with the sale closing in the 3rd quarter of 2017.

In a statement from Edwin Sawai, president of Don Quijote (USA) Co., Ltd. and Marukai Hawaii Co. Ltd., he stated “The opportunity to welcome the Times Supermarket family of stores and their employees to our ohana is exciting for us,” and added that “We are confident that we will successfully work together, share ideas and learn from each other’s combined experiences to best serve Hawaii.

We look forward to continuing their history and success in the islands.”[10] Don Quijote later re-branded as Pan Pacific International Holdings due to their ventures expanding beyond discount retailing.