The present invention discloses a three-dimensional one-time-programmable memory (3D-OTP) comprising an off-die address/data-translator (A/D-translator). It comprises at least a 3D-array die and at least a peripheral-circuit die. At least an A/D-translator of the 3D-OTP arrays is located on the peripheral-circuit die instead of the 3D-array die. The A/D-translator converts at least an address and/or data between logic and physical spaces.