Bacillus sp. PM06, previously isolated from sugarcane waste pressmud, could produce dual enzymes α-amylase and cellulase. The isolate’s crude enzymes were purified homogeneously using ammonium sulfate precipitation followed by High Quaternary amine anion exchange chromatography. Purified enzymes revealed the molecular weights of α-amylase and cellulase as 55 and 52 kDa, with a purification fold of 15.4 and 11.5, respectively. The specific activity of purified α-amylase and cellulase were 740.7 and 555.6 U/mg, respectively. It demonstrated a wide range of activity from pH 5.0 to 8.5, with an optimum pH of 5.5 and 6.4 for α-amylase and cellulase. The optimum temperature was 50 °C for α-amylase and 60 °C for cellulase. The kinetic parameters of purified α-amylase were 741.5 ± 3.75 µmol/min/mg, 1.154 ± 0.1 mM, and 589 ± 3.5/(s mM), using starch as a substrate. Whereas cellulase showed 556.3 ± 1.3 µmol/min/mg, 1.78 ± 0.1 mM, and 270.9 ± 3.8/(s mM) of V max, K m, K cat/K m, respectively, using carboxymethyl cellulose (CMC) as substrate. Among the various substrates tested, α-amylase had a higher specificity for amylose and CMC for cellulase. Different inhibitors and activators were also examined. Ca2+ Mg2+, Co2+, and Mn2+ boosted α-amylase and cellulase activities. Cu2+ and Ni2+ both inhibited the enzyme activities. Enzymatic saccharification of wheat bran yielded 253.61 ± 1.7 and 147.5 ± 1.0 mg/g of reducing sugar within 12 and 24 h of incubation when treated with purified α-amylase and cellulase. A more significant amount of 397.7 ± 1.9 mg/g reducing sugars was released from wheat bran due to the synergetic effect of two enzymes. According to scanning electron micrograph analysis, wheat bran was effectively broken down by both enzymes.