We report the resistive upper critical field H-c2(T) of the hole-doped two-
leg ladder Sr14-xCaxCu24O41 (x = 12) single crystal, which becomes supercon
ducting with T-c similar to 5 K in a pressure range above similar to 3.0 GP
a. Using a newly developed compact high-pressure cell, the magneto-transpor
t measurements have been performed at temperatures down to similar to 140 m
K under high pressure above 3.5 GPa. It is found that H-c2 (perpendicular t
o the ladder Cu2O3 plane) increases anomalously as the temperature is decre
ased having an upward curvature and shows no saturation down to T/T-c simil
ar to 0.03. Also, its temperature dependence is found to resemble that of t
he high-T-c superconducting oxide Tl2Ba2CuO6. This fact suggests that the a
nomalous behavior of H-c2 has a common origin between the ladders and the t
wo-dimensional high-T-c superconducting oxides.