This invention provides a method and device for inflating a cuff of a non-invasive blood pressure measurement apparatus. The method comprises: obtaining a plurality of pressure values of the cuff at a plurality of time points calculating a first inflation speed parameter on the basis of the plurality of pressure values, a plurality of target pressure values of the cuff at the plurality of time points and a plurality of inflation speed parameters corresponding to each time interval between every two adjacent time points of the plurality of time points and inflating the cuff at a speed corresponding to the first inflation speed parameter from a last time point of the plurality of time points to a first time point after the plurality of time points. In this way, uniform cuff inflation can be achieved when the target pressure values of the cuff change uniformly, so that the over-voltage phenomenon or the condition of low-speed cuff inflation can be reduced or eliminated. In addition, by introducing the plurality of pressure values, even if there is a big error in a cuff pressure value obtained at a certain time point, it is still possible to control the cuff inflation correctly.
