Life on Hit
LoH or Life on Hit is an item affix that does exactly what it sounds like; delivers X amount of life per successful hit on a valid target. This affix is found in random affix slots on weapons, rings, and amulets, and can also be found in inherent bonuses on numerous legendary and set items of all types. LoH is one of the most popular and valuable modifiers in the game, and most players seek to stack up a large amount of it.
This modifier is called "Life per Hit" in Reaper of Souls and while it works in the same way, it takes on a more important role due to the removal of Life Steal.
Life on Hit vs. Life Steal
While LoH works in similar fashion to Life Steal, there are some key differences. Life on Hit is generally less powerful in the end game, which is why it can be found on many more types of items and as an inherent bonus on many legendary items.
Life Steal heals with a percentage of the total damage done, and therefore scales up considerably for characters with very high damage. Life on Hit always delivers X amount with a successful hit, and is not subject to percentage decreases on higher difficulty levels (as Life Steal is), but LoH does not proc with a number of indirect skill effects, while Life Steal often does.
For instance, the Monk's Sweeping Wind skill effect procs with Life Steal but does not with Life on Hit, making Life Steal a far more valuable modifier for characters using that skill.