The request was filed by Green Party presidential candidate Jill Stein.
Dr Stein has also pledged to file vote recounts in Michigan and Pennsylvania.
A win by Hillary Clinton in Wisconsin alone would not overturn Mr Trump's lead - it provides only 10 votes in the crucial electoral college that gave him victory in the 8 November election.
But wins in Wisconsin, Michigan (16 electoral votes) and Pennsylvania (20 electoral votes) would have clinched the presidency for the Democrat.
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