Operand vector multiplexer sequence control is used in a vector-based execution unit to control the shuffling of data elements in operand vectors used by a sequence of vector instructions processed by the vector-based execution unit. A swizzle sequence instruction is defined in an instruction set for the vector-based execution unit and is used to selectively apply a sequence of vector data element shuffle orders to one or more operand vectors to be used by the associated sequence of vector instructions. As a result, when a common sequence of data element shuffle orders is used frequently for a sequence of vector instructions, a single swizzle sequence instruction may be used to select the desired sequence of custom data element ordering for each of the vector instructions in the sequence.