A method for providing ordered capture clocks to detect or locate faults within N clock domains and faults crossing any two clock domains in an integrated circuit or circuit assembly in scan-test or self-test mode, where N>1, includes the steps of: (a) generating and shifting-in N test stimuli to all scan cells within the N clock domains during a shift-in operation; (b) applying an ordered sequence of capture clocks to all scan cells within the N clock domains, the ordered sequence of capture clocks including a plurality of capture clock pulses from two or more selected capture clocks placed in a sequential order such that all clock domains are never triggered simultaneously during a capture operation; and (c) analyzing output responses of all scan cells to locate any faults therein.