PurposeTo tap into the global market, it is important to evaluate and predict the trends of the acceptance of non-Muslims towards halal food products. This review paper aimed to evaluate the evidence relating to the potential barriers to the acceptance of halal food among non-Muslim consumers.Design/methodology/approachThe authors searched ScienceDirect, Scopus, Emerald and JSTOR databases. The search for the studies was performed without restrictions by using the terms “Non-Muslim” OR “Jews” OR “Christian” OR “Hindu” OR “Buddha” AND “halal” OR “halalan toyyiban” OR “sharia compliance” AND “food” OR “dietary” AND “perception” OR “opinion” OR “attitude” OR “barrier”. Quantitative studies were included, and the quality of the studies was assessed with the Crowe Critical Appraisal Tool.FindingsTwo themes were identified to be the potential barriers in the acceptance of halal food among non-Muslim consumers. There were two major factors: weak intention (negative attitude, perceived low behavioural control and perceived low subjective norms) and lack of food safety awareness, whereas the minor factors were as follows: perceived low food quality, halal logo/brand, lack of halal awareness, religious belief, animal welfare, consumer motive, low confidence level, lack of proper marketing/promotion, bad cognitive dissonance, bad food assurance and poor product judgement.Practical implicationsBy realising these potential barriers, it will benefit many parties including stakeholders and the food industry to improve their strategy to expand the halal market, especially for non-Muslims.Originality/valueBased on the findings, the authors believe that while research towards halal needs to continue and improve its basis in theory and design, researchers and food marketers can be confident that intention of purchasing halal food products can be increased by securing the aspect of attitude, subjective norms, perceived behavioural control as well as food safety awareness. Based on the identification of these potential barriers, this review hopes to further explain effective methods of communication for conveying halal concept in different parts of the countries.