A conduction-cooled and no-insulation high temperature superconducting (HTS) dipole magnet with a 1.5T center magnetic field has been developed. It consists of a room temperature iron, HTS double pancake coils and a cryostat. The poles of iron utilize the cylindrical structure and the distance between two poles is 120mm. Each coil has 176 turns and the nominal operating current is 286A. The cold mass of coil is cooled by using a GM cryocooler and the operating temperature is below 20K. This paper describes the HTS dipole magnet design and the carrying-current capacity of YBCO tape and reports the charging and discharging test research of the no-insulation coil with and without iron core. The charging delay time constant is acquired by the experiment and the test result shows that the center magnetic field meets design requirement at the operating current of 286A.