"Failure to comply with this legislation by France and Luxembourg results in serious distortions of competition to the detriment of traders from other EU member states," the Commission said in a statement on Thursday.
The Commission has said similar goods and services should be subject to the same tax rates and that technological advances should be taken into account, but legislative proposals under a new VAT strategy are only expected by the end of 2013.
Rules on VAT on e-services that take effect from 2015 will end the unequal treatment of e-books and paper books, the Commission said.
Digital publications such as e-books are designed to be read on mobile and other electronic devices, such as Amazon's Kindle or Apple Inc's iPad.
If the court rules that the two countries have contravened EU law, it could ultimately lead to the imposition of fines.