The suspect is a 24-year-old man who was arrested on suspicion of offenses contrary to the Terrorism Act, police wrote in a tweet.
The man was arrested in the inner-city Manchester neighborhood of Rusholme.
Six of the 17 people arrested for possible connections to the attack have been released, police said. Eleven remain in custody. Salman Abedi, a 22-year-old man, was identified as the suicide bomber.
Grande is back in Manchester more than a week after the bombing, visiting injured fans ahead of a benefit concert she is holding in the city on Sunday.