Trump, who narrowly won the State, said the results should be respected instead of being challenged or abused.
Green Party candidate, Jill Stein had initiated the recount. She also wants recounts in Michigan and Pennsylvania, citing statistical anomalies.
Democratic candidate Hillary Clinton’s campaign has said it would participate in Wisconsin’s recount.
Results would need to be overturned in all three States to alter the outcome of the 8 November presidential election.
In a statement released by his transition team on Saturday, Trump accused Stein of trying to fill her coffers with money on the pretext of asking for donations towards a recount.
“The people have spoken and the election is over,” the statement said.
Stein defended her recount initiative, telling CNN that having a secure elections process benefits everyone.
She also suggested that she was open to looking at recounts in other States – not just Wisconsin, Michigan and Pennsylvania.