Four of those hurt are thought to have serious injuries The Mirror reported.
The crash happened when the group was heading back from a trip to Italy.
Swiss police said the incident happened on Friday just before 11.30am, around 25 miles from Zurich when the coach was involved in a collision with four lorries.
The tour was operated by Edwards coach operators, which is based near Pontypridd in Rhondda Cynon Taff.
Edwards told The Mirror: “The majority of those on the coach have been discharged from hospital, and they are being put up at a five-star hotel in Lucerne centre.
“We’re still waiting for confirmation on the condition of those still in hospital.”