Kris Steele (38) made the threat following a row with neighbours in Mansionhouse Road, Camelon relating to dogs and noise.
Appearing at Falkirk Sheriff Court last Thursday he had pled guilty to behaving in a threatening manner on April 5.
Steele, who was said to regret his threat, has since suffered a major fire at his former house and has now moved away to another home.
Sheriff John Mundy deferred sentence on Steele, 9 Morriston Court, Grangemouth, for three months for him to be of good behaviour.