UK police have charged a British man with 10 counts of attempted murder following a mass stabbing on a London-bound train on Saturday November 1, British Transport Police have said.

The 32-year-old, named as Anthony Williams, was also charged with actual bodily harm and possession of a knife in connection with the incident, which police have said is not being treated as terrorism-related.

Williams was also charged with another count of attempted murder and possession of a knife over a separate incident in London on the same day, a statement said.

Eleven people were injured in the mass stabbing on the train, including a member of the rail staff, who remains in hospital in a critical but stable condition. That person was hurt while trying to stop members of the public from being stabbed.

Five of the injured had been discharged from hospital by late on Sunday.

Williams, who is from Peterborough in eastern England, will appear at Peterborough Magistrates Court later on Monday, they said, adding that the charges were brought after a review of CCTV footage from the train among other evidence.

Transport minister Heidi Alexander confirmed on Monday the man was not known to security services. She declined to comment on whether he was known to mental health services.