The Arsenal and Everton striker, 31, was arrested after police were called to his flat following a 999 call on December 21 last year.
Jeffers, of Crosby, Liverpool, had been holding a broom handle during a confrontation with Albert Boden, the father of his wife Lucy, from whom he had recently separated after three years marriage.
Boden was found to have suffered “some injuries” in the altercation, which led to Jeffers being charged with a section 4 public order offence of threatening behaviour.
"Their marriage had broken down and an incident took place outside his flat,” Lorraine Barton, prosecuting, said.
"Officers attended. They found Mr Jeffers outside one of the flats with a broom stick."
Mr Boden did not attend the hearing at Sefton Magistrates Court.
Jeffers spoke to confirm his name, age and address. He told the court clerk that he was neither working nor claiming benefits.
Peter Rathe, chairman of the bench, bound Jeffers over for 12 months in the sum of £100 and the section 4 public order charged was formally dismissed.
Jeffers was one of the most highly-rated prospects in English football when he made his debut for Everton against Manchester United on Boxing Day 1997, aged 16.
He was then bought by Arsenal for £8 million before returning to Everton on loan after failing to impress at Highbury.
Jeffers later had a journeyman career punctuated by injury, playing for Charlton, Blackburn, Ipswich, Sheffield Wednesday, Rangers, Motherwell, and two spells at Newcastle Jets in Australia.
He is now a free agent after being released by Maltese club Floriana, who were suffering financial problems and could not afford to pay his wages.
The Liverpool-born forward scored on his only England appearance, a 3-1 friendly defeat to Australia in 2003, during which another famous Everton product also made his debut – Wayne Rooney.