This paper aims at developing a new BPMN extension, called “BPMN4SBP”, supporting the multi-dimensional modeling of Sensitive Business Processes (SBPs) (i.e., the knowledge, functional, organizational, behavioral, informational and intentional dimensions). It aims to explicitly integrate all the relevant issues and aspects relevant at the coupling of the business process modeling (BPM) domain and the knowledge management (KM) domain for improving the identification and management of crucial knowledge which are mobilized and created by these processes. This paper provides the analysis of requirements and relevant concepts for modeling SBP. Based on a core domain ontology, need for extension is identified and the valid BPMN4SBP extension is designed (according to the BPMN extension mechanism) by the construction of a conceptional domain model and the corresponding BPMN extension model. This extended BPMN4SBP meta-model is derived by applying model transformation rules and by adapting, also, the UML profile mechanism to BPMN. The applicability of the proposed BPMN extension is demonstrated by modeling an SBP in a real case study in the healthcare domain.