The hybrid-type penalty method (HPM) is suitable for representing failure phenomena that occur during the transition from continua to discontinua in materials such as concrete. The initiation and propagation of dominant cracks and the branching of cracks can easily be modeled as discrete cracks. The HPM represents a discrete crack by eliminating the penalty that represents the separation of elements at the intersection boundary. This treatment is easy because no change is required in the degrees of freedom for the discrete crack. In addition, it is important to correctly evaluate the deformation of continua before crack formation is initiated. To achieve this, we implemented a constitutive model of reinforced concrete for the HPM. In this paper, we present the implemented constitutive model and describe the simulation of a deep beam test using the HPM to demonstrate its capability for evaluating progressive failure.