The present article generalyses existing economic litterature on consumption tax incidence to general forms of consumption taxes. Previous studies were limited to the cases of per unit and ad valorem taxes. Three main contributions are provided. From a methodological point of view, the elasticity of the tax function is introduced as a new parameter to take the shape of general consumption tax schedules into account in diferent models of imperfect competition in a tractable manner. From a theoretical point of view, existing results on the diference of incidence of ad valorem and per unit consumption taxes are generalized to non-linear consumption taxes: the larger the elasticity of the tax function the weaker the share of the consumption tax beared by consumers. From an applied public economic point of view, it is shown how the regulator may put downwards prices on very uncompetitive markets by increasing the elasticity of the consumption tax on a targeted window of producer prices.