The third man, a former employee of a security firm hired to protect the Schumacher family home in Switzerland, received a two-year suspended sentence and was fined £2,000 for aiding and abetting the other two men.
Schumacher, a seven-time Formula One world champion, has not been seen in public since he suffered a serious brain injury in a skiing accident on a family holiday in the French Alps in December 2013.
Lawyer Thilo Damm, representing the Schumacher family, said they wanted a four-year prison term for the security guard and will appeal.
Some 900 pictures and almost 600 videos of the family, plus the medical records were confiscated from the perpetrators, the public prosecutor's office said.
Three men have been found guilty of trying to blackmail Formula One legend Michael Schumacher's family.
