Laugavegur is the main shopping street in the city center and you find it parallel next to our street, Hverfisgata. Opening hours vary but many stores there catering to tourists are open until 10 pm.
Skólavörðustígur, a trendy street close by with many attractive stores, galleries and local jewelers.
The closest shopping mall is Kringlan. For opening hours see http://www.kringlan.is/English.