An integrated-inverter electric compressor and an inverter unit thereof are provided, with which sufficient anti-vibration properties can be ensured and weight reduction can be achieved. In an integrated-inverter electric compressor, an inverter unit includes an inverter module in which a power-system metallic board having mounted thereon semiconductor switching elements and so forth is integrated with a plastic case, and a CPU board having mounted thereon a control and communication circuit that operates at a low voltage, such as a CPU, is provided on a top face of the inverter module, and inside the plastic case, a thermosetting resin layer for insulation and anti-humidity purposes is provided so as to cover a top face of the power-system metallic board, and a vibration-absorbing elastomeric adhesive layer that maintains a rubber state in an operating temperature range of the integrated-inverter electric compressor is provided between a bottom face of the CPU board and the thermosetting resin layer.