We propose two new adaptive minimum symbol error rate algorithms based on biased and unbiased decision rule respectively for M-ary PAM equalizer systems. The proposed algorithms can be processed either on-line or off-line depending on the availability of the information on channel impulse response. Comparisons are made between our algorithms with other existing algorithms. Computer simulations are performed to present performance results and some important algorithm properties including the effect of varying equalizer length and SNR values.