A continuous pore elastomer featured by being made of a polyurethane, having a three dimensional network pore structure of which skeletons have an average thickness of 20 μm or less and 80% or more of the skeletons have a thickness within the range of 2 to 20 μm, having an apparent density of 0.2 to 0.4 g/cm3, containing a surfactant with a HLB value of 8 or more, and being capable of absorbing water instantly;a process for producing the continuous pore elastomer, comprising a step of extracting out the pore generation agent from the molding with water; anda water-absorbing roller and a swab obtained by using the continuous pore elastomer.