We start from the Anderson–Kondo lattice model derived by us earlier, in which both the Kondo interaction and the residual hybridization processes have been included in a systematic manner. In the present work we discuss a fairly complete phase diagram including magnetic, pure superconducting (SC), and coexistent antiferromagnetic (AF)–SC phases. Both intra‐ and interatomic hybridization cases have been considered, separately. The Kondo insulating state with completely compensated magnetic moments has been obtained as a reference state, from which either AF or SC or mixed AF + SC phases evolve when the metallic state becomes stable. The SC pairing is induced mainly by the Kondo interaction. The method of approach we use is the so‐called statistically consistent renormalized mean‐field theory (SC‐RMFT), encompassing essential corrections to the standard Gutzwiller‐ansatz approach.