Opaque products usually refer to all types of products with opaque packaging. In order to improve the market competitiveness of opaque products, it is crucial to determine the optimal colour scheme for the products. In this paper, we study the colour matching scheme for opaque products, taking different concentrations of red, yellow and blue dye as the research variables, taking the minimum chromatic aberration, the lowest cost, and the type of dye as the objective function, establishing the mathematical model of the optimal colour matching scheme, adopting the single-objective particle swarm algorithm and multi-objective hierarchical sequential method respectively, and using specific examples to carry out a comparative analysis to check the two methods. The results show that the single-objective method can provide the colour matching scheme with the minimum chromatic aberration from the ideal colour, and the multi-objective method can consider the cost and price of dyes as well as the types of dyes to provide a more scientific colour matching scheme. The computational results also verify the validity of the model and show that the model can provide decision-making and support for colour matching schemes for opaque products.