A Moscow commercial court rejected an appeal by the company and ordered it to pay 108 million rubles ($1.93 million, 1.57 million euros), RAPSI legal news agency reported.
An association of Russian intellectual property rights holders headed by Oscar-winning director Nikita Mikhalkov collects from companies 1 percent from the selling price of audio-visual technology including equipment used to copy and store audio and video data for personal use.
The levy is meant to compensate artists in a country where rampant piracy makes it difficult for performers and filmmakers to earn money from their work.
HP was accused of importing equipment into Russia between October 2010 and June 2015 without paying the tax.
The company had asked the court to throw out the case, saying the association had failed to prove that the equipment imported was for personal and not professional use, RAPSI reported.
Mikhalkov, whose film "Burnt by the Sun" won an Oscar in 1994, is a staunch supporter of President Vladimir Putin. He was one of those who backed the country's current cinema ban on British film maker Armando Iannucci's comedy "The Death of Stalin.