The service will run once a day each way, seven days a week.
The route has been reintroduced as part of National Express’ return to the road after a three-month suspension in response to the outbreak of coronavirus.
As lockdown restrictions relax and the British public ventures further from home the demand for post-covid domestic travel grows.
Chris Hardy, managing director of National Express UK Coach, explained: “Our iconic white fleet restarted services on July 1, running at a reduced frequency with a focus on major towns and cities.
“Overall demand and bookings have been really positive and the level of requests for travel has meant we can now also add more Wiltshire locations back onto the network.”
“We’re working hard to help people enjoy the summer safely and will continue to add new services and increase frequency on existing routes.
“Our significant covid-secure measures including reduced capacity, temperature screening and additional air conditioning filters, allow customers to travel in confidence.
“And we’ve also introduced the option to amend the date, time and journey origin and destination free of charge if circumstances change.
“It’s great to be back on the road and playing our part in getting the country safely moving again by providing a safe option for those who have no alternative to public transport.”