The iterative layer theory approach is applied to the analysis of double sided and single sided induction heating systems for continuous heating of thin metal strips. The excitation is transverse to the direction of strip motion and can be three phase or single phase. Nonmagnetic as well as ferromagnetic strips are employed. The important system parameters, namely, strip resistance, reactance, induced power and electromagnetic force are introduced. Accuracy of the method is verified with measurement of practical induction heating system together with comparison to numerical and analytical methods