A method for compensating the influence of at least one of the parameters from the group consisting of flow rate, viscosity, density and Reynolds number of a fluid to be measured on the measured flow rate and/or density of this fluid in a Coriolis mass flow meter with the aid of an equation using the parameters of the current Reynolds number of the fluid to be measured in the Coriolis mass flow meter, the maximum compensation value for Reynolds numbers approaching zero, the Reynolds number at which the curve of the compensation value has the largest slope, and the slope of the curve of the compensation value at the point Rec. Moreover, the invention relates to a Coriolis mass flow meter with a control device for carrying out the method.