The purpose of this thesis is to derive and estimate a demand function for Swedish industrial electricity use, and to investigate changes in demand patterns over the time period 1960 - 2006. The thesis employs data on the industrial electricity use, electricity and oil prices and data on the value of production, and specifies a log linear function which is used running OLS regressions. The data are divided into two time periods, 1960 - 1992 and 1993 - 2006 in order to test for structural change. The demand for electricity is during the first time period highly dependent on total industrial production, while during the second period that relationship has weekend substantially. The explanation is mainly a more efficient use of electricity. The own price elasticity of electricity demand and the cross price elasticity of demand have gone from being insignificant in the first time period to statistically significant in the second time period, implying that industrial electricity demand has become more price sensitive over time.