Hammersmith and Fulham Council's planning committee voted unanimously to approve the proposal for a 60,000-seat stadium at a meeting on Wednesday evening.
A statement on the club's official website, www.chelseafc.com, said: "More than a year ago, a planning application for a new stadium at Stamford Bridge with an expanded seating capacity was submitted to our local council, Hammersmith & Fulham.
"Over the past 12 months, we have consulted widely with neighbouring residents, local businesses, statutory authorities and continued to work closely with the council.
"Tonight the council's planning committee considered the application and we are grateful that planning permission was granted for the redevelopment of our historic home.
"The committee decision does not mean that work can begin on site
This is just the latest step, although a significant one, that we have to take before we can commence work, including obtaining various other permissions."
Source : PA
Source: PA