Previous models based on the Michaelis-Menten kinetic equation, that glucose was not used as an acceptor, did not explain our experimental data for lactose conversion by a recombinant beta-galactosidase from Kluyeromyces lactis. In order to create a new kinetic model based on the data, the effects of galactose and glucose on beta-galactosidase activity were investigated. Galactose acted as an inhibitor at low concentrations of galactose and lactose, but did not inhibit the activity of beta-galactosidase at high concentrations of galactose (above 50mM) and lactose (above 100mM). The addition of glucose at concentrations below 50mM resulted in an increased reaction rate. A new model of K. lactis beta-galactosidase for both hydrolysis and transgalactosylation reactions with glucose and lactose as acceptors was proposed. The proposed model was fitted well to the experimental data of the time-course reactions for lactose conversion by K. lactis beta-galactosidase at various concentrations of substrate.