The invention relates to a stepless height adjusting spherical support. The stepless height adjusting spherical support comprises a support body system, a bridge floor height monitoring system and a height adjusting system, wherein the bridge floor height monitoring system is used for monitoring the height of the bridge floor; the stepless height adjusting spherical support is characterized in that the height adjusting system is arranged below the support body system; the height adjusting system comprises vertical jacking devices, a double-helix contact pair, a horizontal worm wheel and worm transmission mechanism and a bottom seat plate; at least one of the vertical jacking devices, the double-helix contact pair and the horizontal worm wheel and worm transmission mechanism are arranged on the bottom seat plate; at least one of the vertical jacking devices is arranged at the position corresponding to the lower surface of the support body system so as to vertically jack up the support body system during height adjustment; the horizontal worm wheel and worm transmission mechanism can control the double-helix contact pair so as to realize lifting; and the double-helix contact pair has a self-locking function and high vertical bearing stability. According to the stepless height adjusting spherical support provided by the invention, the height of the spherical support can be adjusted according to elevation changes of the bridge floor, the vertical height adjustment can be realized without limitation, and the smoothness of the bridge floor is ensured.