This paper presents a stochastic model for spatially embedded social networks based on the
ideas of spatial interaction models. Analysing empirical data, we find that the probability to
accept a social contact at a certain distance follows a power law with exponent-1.6. With a
simulation where the spatial distribution of vertices is defined by a synthetic population of
Switzerland, we can reproduce the edge length distribution observed in the empirical data
as well as some other typical properties of social networks.