Chrysler said sales were up 17%, driven by its Jeep brand which saw sales jump 58% after it introduced new models.
GM reported a 12.6% rise in sales compared with the same period last year.
Ford posted a better-than-expected 3% increase in sales, helped by increasing demand for sports utility vehicles (SUVs) as well as its Fusion sedan.
The carmaker saw its truck sales drop 4% as it cut back on incentives in preparation for the launch of its new F-150 pick-up truck, which is the best-selling vehicle in North America.
Ford also said it was shutting down some truck plants for a total of 13 weeks in an effort to plan for the launch and manage inventory of the new truck, which features a lighter body for better fuel mileage.
May is traditionally a strong month for car sales in the US.
This May in particular was helped by an extra weekend, which saw particularly strong sales.
GM shares rose more than 3% on the news, before falling later in the day.
The company appears not to be suffering from a mishandled recall, which resulted in a $35 million fine for the company last month.
The National Highway Traffic Safety Administration Board (NHTSA) said it was the single highest civil penalty ever levied as a result of a recall investigation.
Foreign car makers also saw strong US sales, with Japanese car makers Toyota and Nissan reporting double-digit sales increases.
Of the major car manufacturers, only Volkswagen saw its sales fall.
Demand for Volkswagen vehicles slumped 15%, partially as a result of a pause before the launch of a new Golf compact car.
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