Morley and Outwood MP Ed Balls and local councillor Neil Dawson have joined forces to petition for more 20mph zones in the town.
And local residents will be able to show their support for the new zones, especially around schools and residential areas of Morley.
An existing 20mph zone is already in place in Fountain Street, close to Morley Academy’s site.
Leeds City Council is now considering adding further zones in central Morley, including Albert Road and the Newland, Denshaw and Middleton estates.
Mr Balls said: “Parents often raise concerns with me about the number of cars on our roads and the speed they travel.
“It means children are kept indoors rather than playing outside and often get driven to school rather than walking.
“Coun Dawson and I will be asking Leeds City Council to consider introducing 20mph zones outside all schools in this area and residential areas.”
Mr Balls recommended that local authorities set up 20 mph zones to enable more children to play outside and walk to school while he was Secretary of State for Children.
The plans for Albert Road will include traffic calming measures and clearly marked 20mph signs.
Coun Dawson said: “I am pleased that the council are looking at creating a new 20mph zone in this area, as many children going to Newlands and Seven Hills School walk along Albert Road and these estates.
“Most people I have contacted so far support proposals for more 20mph zones and some expressed concern of the speed of vehicles along Magpie Lane and in other areas.
Anyone interested can support the petition by emailing Mr Balls on firstname.lastname@example.org, or by visiting the website at www.edballs.co.uk.