Workers will serve online retailer Amazon with an anti-social behaviour order on Wednesday to demand it pay its taxes.
GMB members will target Amazon bosses at the firm's Doncaster depot on Firstpoint Park at 10am.
It claims that Amazon's British arm did not pay a penny in corporation tax in 2010 and '11.
GMB estimates that Amazon's British sales were around £2.8 billion in 2010 and that the firm should have paid £35 million in corporation tax.
Yorkshire and north Derbyshire secretary Tim Roache said: "If these tax-avoiding companies paid tax, just as decent hard-working GMB members do," then the government's budget cuts would be "unnecessary."
"Greedy bankers created this economic mess but companies and individuals cost us an estimated £25bn each year in tax avoidance."