Refugee and migrant communities from culturally and linguistically diverse backgrounds in Australia experience dependency, stigma, isolation, mental health issues, family issues and other problems associated with alcohol and other drugs. Yet, refugee and migrant communities also face major linguistic, cultural and technological barriers to health promotion about drug-related problems. The aim of this review is to identify effective techniques and approaches for health promotion that reduces the risk of problems with drugs in culturally and linguistically inclusive ways. To identify what is effective, the Medline/PubMed database was systematically searched for health promotion literature published between 2008 and 2018. Grey literature from relevant agencies was also searched. The review considered both quantitative and qualitative outcome measures, and assessed studies using the Critical Appraisal Skills Programme quality assessment tool. Three studies met inclusion criteria, with weak evaluations. The studies demonstrated effective community engagement, but do not provide conclusive evidence of what is effective drug-related health promotion. The review’s findings point to an important knowledge gap. More rigorous research and evaluation are required to identify effective health promotion for reducing drug-related issues with a larger, more diverse range of refugee and migrant communities.