The 21-year-old was first held in January over the alleged rape and assault of a young woman after images and videos were posted online.
He was also questioned on suspicion of making threats to kill.
Greenwood has been on bail since.
A police spokesman said: "Greater Manchester Police are aware of an allegation regarding a 21-year-old man breaching his bail conditions and an arrest has been made on Saturday, 15 October 2022.
"Enquiries are ongoing at this time."
Within hours of the allegations surfacing online at the beginning of the year, Greenwood, who has made one appearance for England, was suspended from playing or training with United.
Nike suspended and later terminated its sponsorship deal with Greenwood, while Electronic Arts confirmed his removal from active squads on its Fifa 22 game.
In the later hours on Saturday, Greenwood has been charged with attempted rape, engaging in controlling and coercive behaviour, and assault occasioning actual bodily harm, prosecutors.
Prosector Janet Potter said the Crown Prosecution Service had "authorised Greater Manchester Police" to charge the 21-year-old England international, adding that all three counts related to the same complainant.