The couple is staying at a guesthouse in the Datia district while the investigation unfolds, he said.
The Swiss ambassador to India, Linus von Castelmur, has spoken with the couple and offered any support they will need.
"Their health and treatment is the priority of the moment," the ambassador said in a statement. "The embassy has also been in touch with the local authorities and has requested for swift investigation and for justice to be done."
The attack comes at a time in India when there are calls for stricter laws on sexual assault and changes in cultural attitudes toward women.
In December a 23-year-old woman was gang-raped on a New Dehli bus, spurring protests in India, where most women have stories of sexual harassment and abuse on public transportation or on the streets, according to the Indian Council on Global Relations. That woman later died in a Singapore hospital.
A panel appointed by India's home affairs minister as a result of the case criticized Indian attitudes toward sexual assault and called for policy changes, including creating an offense of gang-rape punishable by at least 20 years in prison, making it a crime for police to fail to investigate sexual assault complaints and making it illegal to consider character or previous sexual experience of the victim at a criminal trial.