But they wouldn't provide further details, citing the ongoing investigation.
Russo is not in custody, but has been advised of the charge and is expected to be formally served with the complaint in the next few days.
He faces a maximum of 18 months in prison if convicted on the fourth-degree crime.
The charges against Russo come one day after Giordano's married boyfriend, Rosario DiGirolamo, was charged with her murder.
