The reproduction of angelfish is fairly simplistic but unusual (not really like the pictures above).  Like most fish species, mating is done by spawning.  Once mating season comes around, the male of the harem takes one of the females away from the reef and shoreline with him to mate.  They do not spawn in the reef due to the reef predators that are likely to eat the majority, if not all, of the fish eggs the female lays.  The spawning process begins by the release of the female’s eggs.  She usually releases an extremely large amount of eggs in hope of a few making it to maturation. (An insurance policy similar to Basidiomycota)   Once this has occurred, the male releases his sperm and fertilizes the eggs.  After this, the hatching and development of these fish is up to nature.  Ocean currents will take these eggs into their streamlines and move them accordingly until they are ready to hatch.  Only a very small percentage of these eggs will last long enough to become juveniles and ultimately mature angelfish.