The US-based firm's legal appeal to the European Union comes amid an increasingly tense battle with regulators and traditional cab drivers in several European countries.
Uber argues that efforts by national governments to shut it down breach EU laws on competition and the single market, according to copies of the complaints seen by AFP.
"We confirm the fact that we've filed those three complaints," Uber's Western Europe spokesman Thomas Meister told AFP in an email.
The challenge against Spain was filed on Monday, while those against France and Germany were filed in late January and February respectively.
"We are carefully assessing the complaints," said Jakub Adamowicz, a spokesman for the European Commission, the EU's executive arm that oversees Europe-wide regulation.
He said the outcome depends largely on whether the commission accepts Uber's argument that it is merely a mobile phone app and not a transport company.
"Uber is a technology, but it is a technology that has an impact on transportation," Adamowicz said, adding that EU member states "have a very important role to play".
If Brussels finds EU rules have been violated, it can launch in-depth investigations that could ultimately bring penalties and fines against the national governments.
Uber uses mobile phone apps to put customers in touch with private drivers who then take them where they want to go, at prices lower than those of traditional taxis.
But despite its growing popularity, Uber is facing increasing limits on its activities in EU countries and a barrage of legal challenges spurred on by a furious taxi lobby, who say Uber drivers should be regulated the same way as normal cabs.
In March, a German court issued a nationwide ban on the firm's low cost service uberPOP, while on Tuesday in France an appeals court delayed a decision to reverse or confirm a similar ban.
Legal wranglings are also heating up in the Netherlands.
Meanwhile in Brussels last month, a gang of taxi drivers assaulted Uber rivals, angered by a possible compromise between Belgium authorities and the app.
Uber's complaints cite bloc rules on e-commerce and technological neutrality, jurisdictions over which the EU has significant say.
The 28-member EU however has little power over transportation policy, largely the remit of national authorities.
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