This study develops exponential generally weighted moving average (exponential GWMA) and exponential double GWMA (exponential DGWMA) control charts for monitoring the interarrival times of rare events. The exponential GWMA chart is an extension of the exponential EWMA chart. Via an extensive simulation procedure, the average and standard deviation of run lengths (ARL and SDRL) of one-sided exponential GWMA and DGWMA charts are obtained and employed to select the appropriate design parameters and control limit constant of exponential GWMA and DGWMA charts. Based on the statistical performance evaluated by the ARL criterion and the overall economical performance measured by Taguchi's loss function, the exponential GWMA and DGWMA charts are proven to be superior to other control charts, including exponential Shewhart-type, EWMA, and CUSUM charts.