The electrical contact property between multiwalled carbon nanotubes and nanoscaled Cr electrodes is experimentally studied. The nanotubes were grown by thermal chemical vapor deposition and the nanoscaled Cr electrodes were fabricated by standard e-beam lithography techniques. The contacts were found to be ohmic with resistance values in the order of 10^3 Ω at room temperature. Remarkably, the contacts showed weak temperature dependence down to 40 mK and were insensitive to the magnetic field up to 5 Telsa. Moreover, in a perpendicularly applied magnetic field the multiwalled carbon nanotubes showed negative magnetoresistance; this can be attributed to the weak-localization of electrons on the tube surface.