Ivans Karanovs, 20, will appear in court in Peterborough tomorrow, police said.
Backbencher Stewart Jackson said he tried to make a citizen's arrest on Saturday after seeing a man smash the glass with a bottle. However the alleged culprit fled after kicking him in the chest.
Mr Jackson, who had been shopping with his wife and daughter in his Peterborough constituency, posted about the incident on Twitter.
"Had set to with violent thug kicking in bus shelter in Broadway & suffered kick in side for pains," he wrote.
He told the Press Association: "I was walking past and couldn't just ignore it...
"That's when I put my shopping down and went on up and said, 'You can't do that."'
He added: "I just felt, I live there, it is my city, it is my constituency. When you tolerate that the next thing is that they are smashing up people's faces."
A spokesman for Cambridgeshire Police said Karanovs faced charges of criminal damage, using threatening words and behaviour and common assault and would appear in custody before Peterborough magistrates tomorrow. His address was not available.