Bramhall pleaded guilty in December to two counts of assault by beating after pleading not guilty to assault occasioning actual bodily harm.
Simon Bramhall used an argon beam machine to burn his initials on to the livers of two anesthetized patients in February and August 2013.
He resigned from his job at Birmingham's Queen Elizabeth Hospital in 2014.
Prosecutor Tony Badenoch QC said one of the two victims was left feeling "violated" and suffered ongoing psychological harm.
"And no greater vulnerability than that of a patient who's under general anaesthetic and the breach of that trust and the abuse of that power were aggravating features that led us to conclude it was the right thing to do to take this case forward".
According to a BBC report, Bramhall is still employed with the National Health Service in another city, but could face additional censure, including the possibility of losing his licence, when his case is reviewed by British medical regulators.
The offence of assault by beating was brought against the consultant surgeon to reflect the act of marking the liver and there is no suggestion he was responsible for physically "beating" either patient.
One of the patients supporting the surgeon told the court how she had been given just three months to live in 2006 when Simon Bramhall told her he would take the decks to operate on her 15cm tumour.
"I accept that on both occasions you were exhausted and stressed and I accept that this may have affected your judgment", the judge continued.
"He also said that in hindsight this was naive and foolhardy - a misjudged attempt to relieve the tension in theatre".
Judge Paul Farrer QC also sentenced Bramhall on Friday to a 12-month community order with 120 hours of unpaid work.
Badenoch acknowledged that the surgeon's branding did not cause any harm to the patients' liver, but the practice is still highly immoral and borderline criminal.
She originally read about Bramhall's actions in the media, before discovering that she was the victim concerned.
A nurse who witnessed the surgeon's actions said she had asked him what he was doing; he is said to have replied: "I do this".
Undated handout photo issued by West Midlands Police of Simon Bramhall.
"As a nurse, was this a freaky doctor-nurse thing?"
She said her trust in doctors had been destroyed, adding: "My lack of trust in the doctors made me question what could have gone wrong with my new liver".
Mr Ferguson said Bramhall was a "very respected" surgeon to whom many patients owed their lives.