Introduction.- Supersymmetry.- Noncommutative geometry.- Supersymmetric almost-commutative geometries.- Noncommutative geometry and R-parity.- Supersymmetric spectral triples.- Conditions for a supersymmetric spectral action.- Summary and conclusions.- Appendix 1. The action from a building block of the third type.- Appendix 2. Supersymmetric spectral actions: Proofs.- Appendix 3. Auxiliary lemmas and identities.- Supersymmetry breaking.- Soft supersymmetry breaking.- Soft supersymmetry breaking terms from the spectral action.- Summary and conclusions.- The noncommutative supersymmetric Standard Model.- Obstructions for a supersymmetric theory.- The building blocks of the MSSM.- Identification of particles and sparticles.