The death comes just days after the WHO officially declared a pandemic following a surge of cases in Australia.
The victim is understood to be a 38-year-old woman who had underlying health problems and gave birth prematurely at a hospital in Paisley.
A further 10 patients are being treated in hospital for A(H1NI).
Scottish health secretary Nicola Sturgeon said: ‘We continue to see a rise in cases of Influenze A (H1N1) around the world, and Scotland is not isolated from that.
‘We remain one of the best prepared countries in the world and, as in every other country, the vast majority of people contracting the virus are experiencing relatively mild symptoms.’
But LMCs expressed concerns at the annual LMC conference, in central London last week, that GPs are not receiving enough guidance and advice to deal with the outbreak.
Currently, there are 1,226 cases of swine flu in the UK.
VISIT OUR SWINE FLU RESOURCE CENTRE
Comment below and tell us what you think