The case against Mr Csatary in Slovakia means that extradition proceedings may be launched.
Slovakia no longer has the death penalty, so a guilty verdict against Mr Csatary would probably mean life imprisonment.
After the war, Mr Csatary escaped to Canada where he worked as an art dealer in Montreal and Toronto.
Csizsik-Csatary denied the allegations to a reporter from the British tabloid The Sun.
Laszlo Csatary allegedly persecuted opponents of the pro-Nazi Hungarian regime that ran the town of Kosice during World War II.
Csizsik-Csatary participated in the deportation of 15, 700 Jews to the Auschwitz concentration camp in 1944, witnesses have told the center.
On Monday the Slovak Justice Minister, Tomas Borec, said he would like to see Mr Csatary put on trial in Slovakia.
The Simon Wiesenthal Center found Csizsik-Csatary as part of its Last Chance project, said Efraim Zuroff, director of the center's Israel office.
The Nazi-hunting Simon Wiesenthal Center accuses Mr Csatary of involvement in the deportation of 15, 700 Jews from Kosice to the Auschwitz death camp.
Using the last name Csizsik, Csizsik-Csatary arrived in Canada in 1949, telling immigration officials he was Yugoslavian, according to The Toronto Star newspaper.
Laszlo Csizsik-Csatary is accused of sending more than 15, 000 Jews to the Auschwitz concentration camp in the spring of 1944, the Simon Wiesenthal Center said.
As deportation proceedings were under way, Csizsik-Csatary voluntarily left the country.
Csizsik-Csatary made sure four of them were brought back from forced labor with the Hungarian army so they would be deported and killed, according to Zuroff.
Csizsik-Csatary served as a senior Hungarian police officer in the city of Kosice, which is now in Slovakia but was under Hungarian rule in the 1940s, the center said.
Authorities in Hungary launched an investigation in September 2011 after receiving information from Zuroff regarding Csizsik-Csatary's residence in Budapest and his role in the Auschwitz deportations, the center said.
On Wednesday Mr Csatary was questioned by Hungarian prosecutors.
Csizsik-Csatary returned to Hungary upon leaving Canada, Zuroff said.
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