Greater Manchester Police said many women who had been impacted by such videos had come forward following a public appeal.
One of the women filmed told the she was recorded walking along Deansgate in Manchester.
The 23-year-old said she had not realised she had been filmed until she was sent a link to one of the videos.
“I have no words really other than it just made me feel a bit sick,” she said.
The force said: “We’ve arrested a 27-year-old man from Bradford on suspicion of stalking and harassment, in connection with several reports of women being followed, filmed, and harassed in Manchester City Centre.
“This arrest is thought to be the first in the country linked with several viral videos on social media platforms appearing to have filmed women on nights out, some whilst in vulnerable positions.”
