The five-storey v-shaped building would replace the current ticket office and club superstore, providing around 200 rooms at the London Road site outside the main stand of Celtic Park and close to the Emirates Arena.
The Scottish Premiership champions hope to get the green light in the autumn for the museum and improved shop/ticketing facilities.
Previous plans for a £44m hotel development on a site facing Celtic park were shelved in 2013.
A statement submitted with the new plans said: “The proposed development will result in the creation of some 100 to 120 permanent full and part-time jobs and will contribute positively to the regeneration of the Clyde Gateway area.”