Wolmar is the first person to put himself forward for the nomination.
The party has not yet announced a timetable for selecting a candidate.
Wolmar says if selected he hopes to “shift the discussion on transport away from the narrow concerns that have dominated previous campaigns.”
On his campaign website, Wolmar accuses candidates in this year’s election of offering “a ragbag of vague ideas designed to appease various interest groups, rather than an attempt to set out what a 21st century city should look like.”
He also says the issue of fares was “an important issue but not one that should have dominated” the contest.
Setting out his own vision, Wolmar says he would “reduce the number of cars coming into central London” by extending the congestion charge zone, introducing pedestrianisation schemes and one hour tickets for bus users.
