We can confirm that at shortly before 11:00 am on Saturday 2nd March 2013, officers were called to a property at Moonrakers Estate, Devizes.
On arrival the bodies of a man and a woman were found. An investigation into the circumstances of their deaths is under way.
This is an isolated incident and have no reason to believe that anyone else is at risk.
The families have been informed but formal identification of the deceased has not yet taken place.
The spokesman said a post-mortem examination was still to take place, but that both victims appeared to have sustained gunshot wounds.
More top news
European court says US-EU treaty allowing transfer of personal data by US companies is invalid due to privacy fears.
Luxury car maker Lexus has made a full-size driveable 'Origami car' out of cardboard to celebrate the craftsmanship of their workers.
Who will get hired and who will get fired by Lord Sugar in this year's Apprentice?