High-temperature superconducting (HTS) coils are potentially alternative for replacement of copper coils, thanks to high Q-factor and high current capabilities. In the following paper, the HTS coils for transmitter andreceiver are designed, analyzed and measured to ensurehigh performance and good coupling between coils. The presented wireless power transfer (WPT) system operates at 30 kHz with resonance at the receiver coil and with triangle current waveform on the transmitter coil. The coils are analyzed using finite-element method to establish the operating point of HTS.