The roof lateral displacement for RC frames is very significant parameter in performance based engineering and should be within acceptable limits as per the requirement of different performance levels. Data obtained from the time history dynamic analysis for a series of gravity load designed (GLD) RC frame was used as input data in a statistical program called SPSS 16.0, and a statistical analysis was done and a power equations was proposed to estimate the roof lateral displacement for the GLD RC frames. Three equations were proposed for estimating the roof lateral displacement.The first one is for the bare frame models, the second is for infilled frame models and the third is for infilled frame with open ground story. The equations for estimating the roof lateral displacement for GLD frames with different type of infill (bare, infilled and open ground story models) are proved to be acceptable accuracy and they can be used to estimate the roof lateral displacement for GLD RC frames if they meet the conditions set out.