Purpose– The purpose of this paper is to study how a general standardized processes assessment capability/maturity model, such as Capability Maturity Model Integration (CMMI), can be combined to a standardized benchmark of logistics processes best practices, such as FD X50-604, to propose a new approach that evaluates logistics processes capability/maturity.Design/methodology/approach– First, an analysis study of CMMI model and X50-604 standard is performed. In order to prove their coherence, a deep comparative analysis of CMMI and X50-604 practices is conducted. As illustration, the paper focuses on a particular application of this approach to evaluate capability/maturity of distribution logistics activities. An industrial case study that aims the validation of this particular application is finally conducted in a furniture company.Findings– The authors estimate that the paper findings provide an operational guide for industrials to evaluate their distribution processes that is a practical, verifiable, repeatable and extensible to other logistics process areas and an interesting opportunity to evolve the standard FD X50-604 regarding CMMI requirements to assess capability/maturity of logistics processes.Originality/value– In general, the few capability/maturity-driven models analyzed in literature present some limits that do not allow their diffusion in the industrial level, especially in logistics. This study proposes a new approach based on standards that provide an operational guide for industrials to evaluate their distribution processes based on capability/maturity concept.