A design structure for a circuit for switching clock signals with logic devices using a glitchless clock multiplexer optimized for synchronous and asynchronous clocks. The design structure comprises a circuit having an asynchronous clock group and one or more synchronous clock group(s). The asynchronous group comprises a plurality of high frequency glitchless control (HFGC) blocks for asynchronous clock sources. Each synchronous group comprises a plurality of HFGC blocks for synchronous clock sources. The circuit comprises a multiplexer for receiving delayed input clock signals from HFGC blocks for asynchronous clock sources and from HFGC blocks for synchronous clock sources. A switching latency (period in which no clock pulse appears at the final output of the circuit) from a first input clock signal belonging to a synchronous group to a second input clock signal belonging to the same synchronous group is one clock cycle or less of the second input clock signal.