In 1989, The Baugur Group was started by the opening of a single 'Bónus' supermarket in Reykjavík by Jón Ásgeir Jóhannesson and his father, Jóhannes Jónsson. The company grew quickly and within three years was operating several supermarkets in Iceland. In 1992, the owners of Hagkaup, the leading domestic retailer, acquired 50% of shares in Bonus. In 1993, Hagkaup and Bónus established a joint purchasing company named Baugur.

Hagkaup was established over 50 years ago and, as a retailing pioneer, opened both supermarkets and department stores in Iceland. Hagkaup and Bonus merged as Baugur in 1998 and Jón Ásgeir Jóhannesson became the company's President and CEO. Baugur was listed on Iceland Stock Exchange the same year.

In 1999, Baugur signed franchise agreements with The Arcadia Group and Debenhams for Scandinavia and today Hagar, (formerly Baugur-Iceland) runs several Topshop and Miss Selfridge stores in Iceland and Sweden as well as three Debenhams stores.

The Baugur Group has experienced rapid growth in recent years, and at the end of 2003, became the largest privately-owned Icelandic company, as well as the most internationally diverse.

On 4 February 2009, Baugur applied for protection from its creditors after restructuring negotiations with Landsbanki broke down. The bank also applied for Baugur's UK arm to be put into administration