A nested wrap-around technology includes an address counter and associated logic for generating addresses to perform a nested wrap-around access operation. The nested wrap-around access operation may be a read or a write operation. A wrap-around section length and a wrap-around count define a wrap-around block. A wrap starting address, initially set to a supplied start address, is offset from a lower boundary of a wrap-around section. Access starts at a wrap starting address and proceeds in a wrap-around manner within a wrap-around section. After access of the address immediately preceding the wrap starting address, the wrap starting address is incremented by the wrap-around section length, or, if the wrap-around section is the last one in the wrap-around block, the wrap starting address is set to the lower boundary of the wrap-around block plus the offset. Access continues until a termination event.