In total, 786 more virus patients have died since the last update.
The previous announcement from the Department of Health on Monday announced 5,373 people with coronavirus died.
The latest figures revealed that, as of 5pm on Monday, the UK death toll total now stands at 6,159.
There are 156 cases in Wiltshire and 75 in Swindon.
The different nations in the UK collate their figures at different times throughout the day, so there are sometimes discrepancies between the UK government's total and each nation's.
Individually, they reported 758 new deaths in England, 74 in Scotland, 19 in Wales and three in Northern Ireland.