Residual stresses and strains in a material can be determined by using various experimental measuring techniques. This chapter discusses one of the simple and inexpensive measuring method, namely sharp indentation testing. Presently, sharp indentation is adhered to due to the fact that hardness and relative contact area are independent of indentation depth (due to the fact that the problem is mathematically self-similar with no characteristic length) and this is a particular advantage at interpretation of the results. Furthermore, the emphasis on nanoindentation testing also suggests that sharp indentation is the feature of most interest presently. The chapter also discusses and outlines a solution strategy for the determination of residual stresses by indentation. The solution strategy will mainly concentrate on equi-biaxial residual stresses in low hardening materials but also a general approach is discussed.