Displacement is one of the most important values to analyze bridge's condition. But in someplace it is too difficult to install the displacement sensors or to measure the reliable value from them. In this paper, a fast integral algorithm in time domain is proposed. Based on the least squares method, the fast integral algorithm is described with the relationship between coefficients. It is not only eliminated zero point drift in measuring, but also corrected the truncation errors. From the simulation results, the fast integral algorithm can get more accurate ...