"It has been there for 25 years and we'd trimmed it into a ball shape with agreement with the neighbour and he has been fine about it," Mistry told The Sun.
"But recently there have been birds in the tree which you would expect at this time of the year.
"He started off by putting black bin liners in the tree to stop the birds sitting there.
"Last weekend he said he was going to get a tree surgeon to cut it down and we asked him not to but they came on Friday and did it."
On social media, many accused the neighbours of being "petty" and say that sawing the tree is a step too far.
The Misty family say they are "absolutely distraught" with the neighbours' actions.
"We pleaded and pleaded with them not to do it, but their mind was made up. That tree was coming down," Bharat Mistry said.
"I believe he has the right to cut down anything that is overhanging onto his property.
"But you have to ask, why after 25 years would you do that? It must have been no more than 3ft onto his land."