“Last night we had two new cases of car fires. The first was reported at 12:52am and the second at 3.24am,” spokesman Carsten Reenberg told news agency Ritzau on Sunday.
The first car fire was in the city's Nordvest district while the second was in Amager.
The latest incidents bring the total number of vehicles burnt in Copenhagen up to 26.
The new fires follow the Wednesday arrest of a 21-year-old man suspected of being behind at least some of the 24 vehicle fires reported over the course of previous weekend.
As of Monday morning, no one had been arrested for the two new car fires.
Copenhagen Police have been cautious about drawing parallels to Sweden, where at least 70 cars have been burnt in Malmö since July and car fires have occurred in cities including Stockholm, Gothenburg and Norrköping.