A multi-channel, rotary, progressing cavity pump comprising a housing having an outer wall defined by overlapping cylindrical chambers, a first end wall defining an inlet port, and a second end wall defining an outlet port, said inlet and outlet ports communicating with each chamber; meshed, lobed rotors disposed within said housing and comprising a plurality of lobes having first and second axially-facing end surfaces, said surfaces defining a twist angle, and each lobe defining a helix angle; each rotor being disposed in one chamber of said housing so that a lobe apex sealingly engages the outer wall defined by its associated chamber, and said surfaces sealingly engage said end walls; whereby, when said rotors are rotated in the same direction in unison, (i) an axial progressing cavity is created between said rotors, and (ii) a plurality of peripheral progressing cavities are created between said rotors and said housing.