In the lawsuit, the former "Grey's Anatomy" actor claims that the fallen tree smashed into his house last year, setting off the sprinkler system and snapping the power lines during a storm. Dane's pregnant wife, actress Rebecca Gayheart, was home alone in the house during the incident and was forced to flee with their 20-month-old daughter.
The home was flooded and "surrounded by live high voltage wires, and without the benefit of any light whatsoever," Dane claimed in a lawsuit filed in Los Angeles County Superior Court.
Dane's wife and daughter were able to escape without harm.
The Danes claim that Corgan was warned his trees were shaky and dangerous. In a statement, Corgan says the warning was "patently untrue."
"I was horrified when I learned about the tree falling. … Thankfully, no one was injured," he added.
Dane did not respond to ABC News' request for a comment about the incident, but Corgan says the entire legal battle is a "shame … because they [Eric and Rebecca] are nice people."
Noisy neighbor disputes involving celebrities are nothing new in Tinseltown. Actress Katherine Heigl called the cops to her Los Angeles home two years ago after a neighbor allegedly harassed her and husband Josh Kelley because they were making too much noise. The cops ultimately decided that no crime was committed.
When actor Dax Shepherd thought Justin Bieber was playing music too loud, he told the hosts of "The View" that living next to the teen pop star is "like living in Lebanon."