Economy Minister Mihaly Varga said Tuesday that the tax -- 150 forints (0.50 euros, USD 0.61) on each transferred gigabyte of data -- was needed to plug holes in the 2015 budget of one of the EU's most indebted nations.
He also said the tax was fair as it reflected a shift by consumers to the internet away from phone lines.
The idea has triggered alarm, including from Nellie Kroes, the EU's digital chief, who tweeted that the tax was "a shame for users and a shame for the Hungarian government".
Some 36,000 people have signed up to a protest organised on social media to be held outside the Economy Ministry tomorrow to demand the tax be scrapped.
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Organisers told AFP today via email that the tax would restrict access to information, particularly in poor areas, could cripple small businesses, and would restrict government critics who mainly use online media.
"It is the latest anti-democratic crackdown by Orban, a direct attack on freedom of expression," organisers said.