We developed a cryocooled YBCO vector magnet system for X-ray magnetic circular dichroism (XMCD) measurements. This system can generate a two-dimensional vector-controllable magnetic field in any chosen direction using two external power supplies and vary the photon polarization. The magnet mounted in the system is cryogen-free and conduction-cooled, and consists of two-axial split coils. The material of the coils is YBCO tape conductor. The peak vector magnetic field of 1.2 T is obtained. In this report, we describe specifications of the system, cooling and operating test results and XMCD measurement results using the system.