Richard Westwood, 72, from Surrey, and Leonard Hawkes, 69, from Berkshire, have been summonsed to Chester Magistrates on 2 December, police said.
They will both face one count each of indecent assault relating to an incident in Chester in 1968.
The Tremeloes formed in 1958 and first charted in the UK in July 1963 with a version of Twist and Shout.
The band went on to have a string of hits throughout the 60's, including a number one with Silence Is Golden.
Guitarist and vocalist Rick Westwood left in 2012 and bass player and vocalist Len 'Chip' Hawkes, left in 1988.
Two former members of 1960s band The Tremeloes have been accused of historical indecent assault.