According to the ESA/390 Principles of Operation (SA22-7201-08), relative addressing instructions were introduced in 1996.
Relative-long instructions were added in 2000. Under "Highlights of ESA/390", p. 1-3: "The immediate-and-relative-instruction facility includes 13 new instructions, most of which use a halfword-immediate value for either signed-binary arithmetic operations or relative branching. The facility reduces the need for general registers, and, in particular, it eliminates the need to use general registers to address branch targets. As a result, the general registers and access registers can be allocated more efficiently in programs that require many registers. (September, 1996)" Also under "Highlights...", p- 1-5: "Certain new z/Architecture instructions are available on a model in the ESA/390 architectural mode when z/Architecture is installed. These new instructions are highlighted as follows: ... – BRANCH RELATIVE AND SAVE LONG and BRANCH RELATIVE ON CONDITION LONG are like the BRANCH RELATIVE AND SAVE and BRANCH RELATIVE ON CONDITION instructions except that the new instructions use a 32-bit immediate field. This increases the target range available through relative branching... (October, 2000)" Under "Summary of changes in Fourth Edition": The instructions of the immediate and relative-instruction facility are added. These are: ... - BRANCH RELATIVE AND SAVE - BRANCH RELATIVE ON CONDITION - BRANCH RELATIVE ON COUNT - BRANCH RELATIVE ON INDEX HIGH - BRANCH RELATIVE ON INDEX LOW OR EQUAL ... Also, under "Summary of changes in Eighth Edition": The following new instructions that have been placed in both z/Architecture and ESA/390 are added: ... - BRANCH RELATIVE AND SAVE LONG - BRANCH RELATIVE ON CONDITION LONG ... - LOAD ADDRESS RELATIVE LONG Looking at the dates, the first machine to support relative addressing (but not relative-long) was (this is a guess) the IBM 9672 G3 (announced in 1996) or G4 (1997). All z/Architecture machines, starting with the z900 (announced October 2000), support relative addressing.