We fabricate CrP 4 single crystal under high pressure and high temperature at 5 GPa and 1373 K. The comprehensive physical properties including electronic transport, magnetic properties, specific heat, Hall, thermal Seebeck and thermal conductivity are reported here. The resistivity shows a good metallic conductivity and T 2.7 law relation in the low temperature, which indicates a weak correlation of electrons. It is interesting to note that CrP 4 shows large magnetoresistance (MR) of 500% under T  = 2 K and B  = 9 T, and the MR does not reach saturation until 9 T. The mechanism of large MR in CrP 4 is interpreted as the Fermi surface anisotropy. The Hall measurement shows that there is only one single type of carriers in CrP 4 with holes. CrP 4 exhibits paramagnetic behavior observed from the magnetic susceptibility measurement. Though CrP 4 exhibits high electrical conductivity, unexpected low thermal conductivity is observed at low temperature, which is due to the zigzag chain of CrP 6 octahedra along the c -axis. Low thermal conductivity is useful to design thermoelectric materials or devices by properly doping in CrP 4 .