Planar and vertical transport studies were carried out on samples of epitaxial (001) CdTe grown by pulsed laser evaporation and epitaxy on n- and p-type (001) InSb substrates. Characterization was performed in the temperature range of 4.2–300 K, including Hall effect, current–voltage, and capacitance–voltage measurements. Ohmic contacts to intrinsic CdTe were obtained by application of a AuCl3, aqueous solution. Similar contacts on grown layers showed no Schottky-barrier characteristics. Layers on n-type substrates did not exhibit rectification. Hall effect and resistivity measurements using contacts to the epilayer are in agreement with bulk n-InSb for the range 120–300 K. Below 120 K current dependence in the measured resistivity is observed with a saturation value at low currents, indicating confinement of the transport to the epilayer. CdTe–p-InSb junctions exhibit rectification characteristics below 80 K with C–V measurements yielding a barrier height of 0.17 V. Hall measurements with contacts to the epilayer showed erratic Hall-voltage measurements, but substrate contacts indicate conduction through InSb implying a depleted layer. Estimated electron concentration and mobility in the CdTe layer are n > 8 × 1016 cm−3, and u ~ 104 cm2 V−1 s−1.This indicates that n-type doping of the CdTe layers, possibly due to the incorporation of In, may take place even at the lowest growth temperature.