The case was the first prosecution of its kind in Scotland.
One man was previously guilty in England in 2017 of an unlawful killing following domestic controlling behaviour of his ex-girlfriend.
The trial heard that the couple got together in late 2021 and married in September 2022.
Prosecutors said Milne effectively tormented Kimberley soon into the relationship until the day of her death.
Among the list of incidents was an attack in early 2022 when Milne choked his wife.
Speaking to police before her death, she recalled: “Lee and I were in his home and he went through my phone.
“He saw messages from other men before we were together. He got angry and started to shout and swear at me.”
She told police Milne had called her offensive names.
She added: “Immediately after this he put both hands around my neck and pinned me against the kitchen wall.
“After a while he swapped his hands, pressed his right forearm against my neck.
“A few seconds passed and he let go and started crying, saying how sorry he was.”