Mr Booth, who was out fencing on his farm when he received the phone call confirming his election, said he was "absolutely rapt".
"I'm very excited and very humbled to be honest. It's a very special position."
Other family members, including Dorothy Booth and cousin Dick Booth, have also served on the council more recently.
Dick Booth had been on the council for 21 years and was one of Mr Booth's mentors.
"He's a no-nonsense sound advice man - that's how I would like to portray myself."
He was a relieved a postal vote would not be necessary.
"It's been a long month ... being the only nomination that came in and knowing that another [nomination] pack had gone out was interesting."
He planned to celebrate his win at the Gladstone Inn with wife Julie and friends.
His wife's first question was "does that mean I'm mayoress?", he said.
"She's very pleased for me," he said. "We work together as a team on things and that's great - you do need that support at times."
A special council meeting, where Mr Booth will receive the mayoral chain from former mayor Ron Mark, will be held in a few weeks' time.
Mr Booth's first official event as mayor will be to commemorate Armistice Day on November 11.
Another by-election, the date of which is yet to be set, will be required to fill Mr Booth's seat on the council.
It was likely that several people would put their name forward for the position, Mr Booth said.