Janos Lazar also described Hungarian-born American financier George Soros as a standard-bearer for Obama's immigration policies for Europe and said "certain American groups" want Europe to be "diluted ... So Europe and America can cooperate without restraint."
White House spokesman Josh Earnest said he was unaware of Lazar's comments, but added: "I'm not sure they're worthy of a response."
Lazar called Soros a patron of former US President Bill Clinton and Hillary Clinton, the current US presidential candidate, and a Democratic Party supporter who was "ready to step up" against Orban.
Obama and America "are following a very strong pro-migration, pro-illegal migration policy in the interests of having as many Muslims as possible in Europe."
Also Read
Orban has said that he wants no immigration from outside Europe and that Hungary will solve its demographic problems and dwindling workforce with policies like higher subsidies for families with children.
The government is also sponsoring a referendum expected to be held by October against a plan by the European Union to resettle refugees in Italy and Greece to other countries in the bloc.