Johnson, the former foreign secretary, will be summoned to appear before a London court to face allegations of misconduct in public office, judge Margot Coleman said in a written decision without specifying the date.
The private prosecution is being brought over the 2016 claim that Britain sends £350 million ($440 million, 400 million euros) a week to the European Union, France24 reports.
The decision follows a hearing last week at Westminster Magistrates Court in London, during which lawyers for businessman Marcus Ball, who crowd-funded the bid, lodged an application to summon Johnson.