Tour de France director Christian Prudhomme announced to AFP the withdrawal of the complaint against the spectator.
"It has taken on crazy proportions," he regrets, now wanting to "calm things down".
The spectator, a 30-year-old Frenchwoman, is still in police custody, according to the Finistère gendarmerie.
The Tour de France on Thursday withdrew its complaint against the spectator suspected of being at the origin of the big fall of the first stage, between Brest and Landerneau, we learned from its director Christian Prudhomme at the start of the 6th stage in Tours.
"It has taken on crazy proportions," the Tour director told AFP.
"We want to calm things down and especially that the message pass to the public. It is a question of recalling the precautionary measures on the route of the Tour," he said.
"Everyone needs to calm down," added Christian Prudhomme in the face of the media surge of recent days.
The spectator is still in custody
The spectator in question, a French woman of 30, was placed in police custody on Wednesday and was still so Thursday morning, according to the Finistère gendarmerie.
It is heard within the framework of an investigation opened for "involuntary injuries with incapacity not exceeding three months by clearly deliberate violation of an obligation of safety or prudence", entrusted to the brigade of gendarmerie of Landerneau.
On Saturday, during the first stage of the Tour, the spectator who waved a sign while turning his back to the direction of the race was struck by the German Tony Martin who involved in his fall many riders.
Several of them, in particular the German Jasha Sutterlin (DSM), had to give up after this accident.