The president-elect reminded his Democratic rival that she had already conceded, and published remarks from the presidential debates in which she had urged an acceptance of the poll results.
Hillary Clinton was then reacting to Donald Trump’s refusal to respect the outcome.
The recount in Wisconsin was initiated by Green Party candidate Dr. Jill Stein.
Wisconsin was narrowly won by Donald Trump.
Jill Stein also wants recounts in Michigan and Pennsylvania, citing “statistical anomalies”.
She reportedly wants to be sure computer hackers did not skew the poll in favor of Donald Trump.
Concerns over possible Russian interference had been expressed in the run-up to the vote.
The US government has said Russian state actors were behind hacks on the Democratic National Committee (DNC), a claim denied by Moscow.
Results would need to be overturned in Wisconsin, Michigan and Pennsylvania to alter the outcome of the November 8 election – something analysts say is highly unlikely.
Hillary Clinton’s campaign has said it will participate in Wisconsin’s recount.
Posting on Twitter, Donald Trump said the recount decision was “sad”.
“So much time and money will be spent – same result!” he said.
The president-elect had earlier accused Jill Stein of trying to “fill her coffers with money” on the pretext of asking for donations towards a recount.
Jill Stein’s website says more than $6 million has already been raised toward a $7 million target. It says this is enough to fund the recounts in Wisconsin, Pennsylvania and Michigan.
The deadline for the petition for the recount in Wisconsin was November 25, while Pennsylvania’s deadline is November 28, and Michigan’s is November 30.
Michigan is yet to declare its final results.
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