Workers at the National Museum Wales struck on Tuesday of last week as part of a battle over pay.
The PCS union members have been fighting bosses’ plans to scrap premium pay for weekend working.
Around 100 people also gathered for a lunchtime strike rally outside the National Assembly of Wales in Cardiff.
Bosses had said they wanted to hold “individual consultations” with workers.
This raised fears that workers would be forced to sign up to the changes or face possible dismissal.
But in a joint statement, PCS and the National Museum said they had agreed to suspend both further industrial action and individual consultations for talks.