Ritchie will play seven shows across the country in October and November, following his gigs at Reading and Leeds over the weekend, reported Digital Spy.
The musician - real name Jacob Anderson - is perhaps best known for playing Grey Worm in fantasy series 'Game of Thrones'.
He has also had roles in 'Adulthood', 'The Mimic', 'Broadchurch' and 'Episodes'.
Anderson released his second EP Black and Blue in April, with his first full studio album expected later in the year.