Techniques for handling interrupts of multiple instruction threads within a multi-thread processing environment. The techniques include: interleavingly fetching and issuing instructions of (i) a first instruction execution thread and (ii) a second instruction thread for execution by an execution block of the multi-thread processing environment; providing a first interrupt signal via a first interrupt signal line within the multi-thread processing environment to interrupt fetching and issuing of instructions of the first instruction execution thread; and providing a second interrupt signal via a second interrupt signal line within the multi-thread processing environment to interrupt fetching and issuing of instructions of the second instruction execution thread. The first interrupt signal line and the second interrupt signal line are physically separate and distinct signal lines that are directly electrically coupled to one another.