LONDON—Christian Bale won’t be charged in an alleged assault on his mother and sister, in part because they didn’t want to press the matter but also for lack of sufficient evidence, prosecutors said Thursday.

Britain’s Crown Prosecution Service ordered police not to take any further action, saying there was insufficient evidence to make a conviction realistic.

Bale, who denies the allegation, said through his spokeswoman, Jennifer Allen, that he was relieved the issue had been settled. The actor “hopes to put the matter firmly behind him” and will be providing no further comment, Allen said in a statement released by Bale’s lawyers.

His family had previously declined to comment, saying the issue was a personal matter.

British media had reported that Bale’s mother and sister told police he assaulted them at his suite at the luxury Dorchester Hotel on July 20, a day before he attended the European premiere of his film “The Dark Knight.” Bale has denied the accusation.