"This paper deepens the innovation process model and innovation management model. It states that the latter contains management variables not analyzed in depth, in the literature on innovation models. It also presents six proposals on models of innovation management in companies and sectors. The methodology was based on an in-depth review of 73 documents obtained via Scopus which contained the search terms ""innovation management"" and ""model"". These documents were analyzed using Vantage Point software. The majority of authors are in agreement about innovation models and their emphasis on the ""process of innovation"". However, a similar consensus was not to be found regarding ""innovation management models"". This represents a barrier to theoretical analysis. Yet it is also an opportunity to propose best practices, identify patterns, and establish theories that may become the basis of future models. © 2019 Primrose Hall Publishing Group."