Ultra-high performance pervious concrete (UHPPC) is an indispensable material for heavy-duty road paving in the construction of sponge cities, but insufficient toughness is the main reason why UHPPC heavy-duty paving is easy to crack. In this paper, a novel hybrid fiber-reinforced UHPPC material was prepared by introducing CaCO3 whiskers, PVA fibers and PE fibers, and its compressive strength, water permeability and flexural properties were investigated. It is found that the addition of either PVA fibers or PE fibers improves the compressive strength, flexural strength and ultimate deflection of UHPPC, and the enhancement effect of PVA fibers is better than that of PE fibers. Compared with PVA fibers or PE fibers alone, the hybrid use of CaCO3 whiskers further improves the compressive strength, flexural strength and ultimate deflection of UHPPC. The hybrid blending of PVA fibers with CaCO3 whisker achieves greater improvement in compressive strength, flexural strength, ultimate deflection and flexural cracking pattern than PE fibers blending with CaCO3 whisker. However, the addition of PVA fibers or PE fibers reduces the water permeability coefficient of UHPPC, and the introduction of CaCO3 whiskers further aggravates this reduction effect. Especially the hybrid use of PVA fibers and CaCO3 whiskers in UHPPC, its water permeability coefficient decreases significantly, but still reaches 1.05 mm/s to meet the requirements of engineering application.