The major source of errors in high-speed networks such as Broadband ISDN(B-ISDN) is buffer overflow during congested conditions. These congestion errors are the dominant sources of errors in high-speed networks and result in cell losses. Conventional communication protocols use error detection and retransmission to deal with lost packets and transmission errors. As an alternative, we have presented a method to recover consecutive cell losses using forward error correction(FEC) in ATM(Asynchronous Transfer Mode) networks to reduce the problem. The method finds the lost cells by observing new cell sequence number($SN^{ast}$). We have used the LI field together with SN and ST fields to consider the $SN^{ast}$ which provides more correcting coverage than SN in ATM standards. The $SN^{ast}$ based on the additive way such as the addition of LI capacity to original SN capacity is numbered a repeatedly 0-to-80 cycle. Another extension can be based on the multiplicative way such that LI capacity is multiplied by SN capacity. The multiplicative $SN^{ast}$ is numbered in a repeatedly 0-to-1025 cycle.