BMW grew more than 370 percent while DS was up 266 percent in May, according to data from market researcher JATO Dynamics.
Toyota reported a 250 percent increase with help from two keys models, the Corolla and CH-R, which combined accounted for 79 percent of the brand's sales last month and finished at No. 5 and No. 23, respectively, on the country's ranking of top 25-sellers
VW brand increased sales more than 200 percent in May because of strong demand for the Passat midsize car, which finished the month at No. 6 in the ranking of top-sellers.
Porsche reported a gain of 200 percent, Audi was up 185 percent and Seat rose 173 percent.
The Mini and Jeep brands were each up more than 150 percent.
Fiat brand increased its sales more than 120 percent on the strength of demand for the Egea, which is the country's best-seller.
The five-month leaders in vehicle sales were the Egea, with a volume of 31,615, followed by the Corolla with 20,918 sales through May.
Rounding out the top five were Ford Transit Courier/Tourneo Courier (14,057), Renault Megane (13,332) and Renault Clio (13,207).