Catalyzes the ATP-dependent phosphorylation of a wide variety of beta-D-glucosides, to produce 6-phospho-beta-D-glucosides including cellobiose-6'-P, gentiobiose-6'-P, cellobiitol-6-P, salicin-6-P, and arbutin-6-P. Is not able to phosphorylate alpha-D-glucosides. May have a dual role of kinase and transcriptional regulator of the cellobiose-PTS operon. ATP + D-cellobiose = 6-phospho-beta-D-glucosyl-(1->4)-D-glucose + ADP + H(+) Is inhibited by N-ethylmaleimide in vitro, but ATP affords considerable protection against the inhibitor. Homotetramer. Highly induced by cellobiose. To a lesser extent, is also induced by gentiobiose, cellobiitol, and methyl-beta-glucoside, but not by arbutin, salicin, esculin or phenyl-beta-glucoside. Belongs to the ROK (NagC/XylR) family.