Abstract: An apparatus is provided for accurately estimating an equivalent bandwidth of a variable bit rate Moving Picture Expert Group in Asynchronous Transfer Mode (ATM) by which an effective connection admission control of VBR MPEG video traffic in ATM network can be performed. The apparatus includes a traffic splitting unit for splitting into the respective frames, a frame traffic calculating unit for performing the approximation for calculating the equivalent bandwidth for the first aggregated frame, a frame traffic combining unit for combining the above two frames, an approximation unit for approximating the resultant moments of the combined frame traffic, a first equivalent bandwidth calculating unit for calculating the equivalent bandwidth of the combined aggregated frame traffic, and a second equivalent bandwidth calculating unit for adding the calculated equivalent bandwidths.