Organisers say they aim to have a “core group of marchers” on each leg of the route. There is a £50 charge for those taking part.
Marches are scheduled to take place in Hartlepool, Pontefract, Doncaster and Wellingborough.
The protests will end with a rally in Westminster on March 29.
Supporters of a second referendum are staging a mass protest in London the weekend before as they demand the Government give the public another say over Brexit.
Leave Means Leave founder and vice-Chairman Richard Tice said: “Over 17 million people voted Leave in the EU referendum, many for the first time, in the greatest democratic exercise in the history of our nation.