The all-pass LC circuits can be used for example for the group delay equalized low-pass filters. This application brings technological problems with mutual inductance for the high frequency area. This paper describes new solutions of all-pass LC circuits. The 2nd order all-pass circuits can be realized without mutual inductance for quality factor Q<1 by the new circuit. The new circuit for realization 1st order allpass circuits does not require the ideal unity coupling coefficient for coils with mutual inductance. By this method all-pass filters can be realized more simply for the high frequency area.