PurposeThis paper aims to propose a framework model of belief consistency on the confirmatory bias theory, trying to explore the interactions between cues of credence-label structure and different controversial types of health foods, as well as the intermediary mechanism of belief consistency.Design/methodology/approachThis paper presents a conceptual framework of belief consistency based on confirmation bias theory. The interactions between cues of credence-label structure and different controversial types of health foods, as well as the intermediary mechanism of belief consistency.FindingsConsumers’ willingness to purchase varies under interactions between cues of credence-label structure (product-level and ingredient-level credence-label cues) and different controversial types of health foods (noncontroversial health foods and controversial health foods). In the consumption context of noncontroversial health foods, the presence of product-level credence-label cues causes confirmation bias, greater perception of health belief consistency and higher willingness to purchase healthy foods. In the consumption context of controversial health foods, the presence of ingredient-level credence-label cues results in the prevention of confirmation bias, lower perception of unhealthy belief consistency and higher willingness to purchase health foods.Originality/valueThis paper offers a significant tool for researchers to enrich relevant theories in the field of the conceptual framework of cues of credence-label structure. It also discusses practical implications for enterprise marketing and for the health and welfare of consumers.