Interleaved switching converters are used in several applications such as power source for a PC microprocessor, one of their advantages is the capability to cancel a portion of the current ripple generated by the switching action, in the output for a buck case and in the input for a boost case. Depending to the voltage gain the operate, that current ripple can be equal to zero. Interleaving connections are made with converters of the same topology, this work explores the interleaving connection of unequal topologies Boost and Cuk, the objective is to develop an interleaving boost topology to reduce the total harmonic distortion at the input current in the full operating range, the input current ripple represents the power quality of switching mode power supplies from the input source point of view. The combined converter achieves a larger voltage gain compared with the traditional boost converter but their main advantage is the extra degree of freedom on reducing the input current ripple for certain operating conditions. Experimental results are provided to verify the theoretical analysis and prof the principle of operation.