The Leeds Rhinos man suffered the setback in training in London as England were preparing for Saturday's international Test against France and he is set to return to Yorkshire to be assessed by his club.
Losing the 30-year-old, who was part of the England squad for the 2013 World Cup, 2014 Four Nations and 2015 International Series win against New Zealand, is a blow to head coach Wayne Bennett ahead of the Four Nations getting underway on October 29.
"Brett is a key member of the senior squad and he's hugely disappointed to be missing out," Bennett said.
"He had been working hard with the train-on squad and has continued to do so in our camp. Unfortunately, he suffered this injury in training which meant he will not be able to train effectively for a few weeks.
"Just like all the other players, I know he was looking forward to the challenge ahead with England. Myself and all the England team wish Brett all the best with his recovery and look forward to seeing him in action next season."
Ward, who has yet to play for his country at full international level, will now hope to get the chance to impress against France after being handed a call-up in Ferres' absence.