Stadium owner, the Rugby Football Union is looking at ways to increase revenue at the site.
It would be able to hold 15 major non-sporting events every year, up from three, if the plans are approved by Richmond council.
The creator of the Change.org petition, Daniel Lever, says residents are not opposed to events in principle.
But he says the current transport infrastructure is not adequately designed to handle large volumes of footfall and traffic.
An RFU spokesperson says many issues raised are either being planned for, worked on, or are already part of the application process.
Attributable to Richmond Council Spokesperson:
“Allianz Stadium in Twickenham is a world-renowned venue and the home of England Rugby, attracting significant cultural and economic benefits to the borough. Richmond Council values the presence of the Rugby Football Union (RFU) in Richmond upon Thames and remains open to constructive discussions about the stadium’s operations.
“The current planning permissions do not restrict the number and type of sporting events that can be held at the stadium. However, certain non-sporting events, such as concerts, are currently limited to three per calendar year with a maximum capacity of 55,000 people – conditions that are in place to benefit major events and the needs of local residents, considering noise and transport impacts. These capacity limitations were previously imposed on a planning permission issued by the Planning Inspectorate.
“Richmond Council is currently engaging with the RFU to ensure the stadium remains a high-performing venue while maintaining a fair approach for those who live and work in the area. Any increase to the number and capacity of future concerts would need to be part of a planning application and determined through the planning process.”