The Franky House was the headquarters and home of the Franky Family.
Water 7 Arc
While guarding his 200,000,000, Usopp was attacked from behind by the Franky Family, on the streets of Water 7. Angered he had lost the money, Usopp goes to the Franky House and heads inside to try and get the money back. Luffy, Sanji, Zoro, and Chopper follow Usopp's bloody trail to the Franky House where they find him passed out in front. The four of them challenge the Franky Family only to find out that their real target, Franky himself, is gone and has taken the money with him. They then all decided to destroy the house.
Post-Enies Lobby Arc
After returning from the raid on Enies Lobby, the Franky Family successfully repaired their house. Unfortunately, their new house was very poorly constructed.