In this paper the important role of Kähler manifolds in the process of building supergravity theories is considered. After a brief introduction connected to particle physics and field theory, details about almost complex and complex structures, so as about the differential geometry of Kähler manifolds, will be done. Focusing then on D=4, N=1 supergravity, technical tools related to the coupling of pure D=4, N=1 supergravity to scalar and vector multiplets are also given.