The decision to charge Giggs was made after a review of evidence gathered by Greater Manchester police, prosecutors said.
In a separate statement, Greater Manchester police said the assault charges relate to an incident on the evening of Nov. 1, when they responded to a disturbance call.
“A woman in her 30s was treated for injuries at the scene,” the police statement said.
While under investigation, Giggs missed the start of his team’s World Cup qualifying campaign. Former Wales captain Robert Page replaced him temporarily.
On Friday, the Football Association of Wales announced that Page “will assume the role” of national coach for the upcoming European Championship.
“An FAW board meeting will be convened to discuss these developments and its impact on the association and the national team,” it said in a statement. “The FAW will not be making any further comment at this current time.”
Giggs was arrested in November and has been free on bail.