Moogle Points is the name of the currency used to purchase cards from the Moogles in the Moogle Rooms in Kingdom Hearts: Chain of Memories. They are red or green in color, spherical in shape, and come in either a small or large size worth either 4 or 10 Moogle points.
Moogle Points can be acquired in two ways: 1) by defeating the Heartless and various Nobody bosses in battle or 2) by smashing and jumping onto the various objects scattered throughout each room.
As there is no way to automatically attract the Moogle Points, Cards, or Health Points that smashed and jumped-onto objects yield, it is up to the player to chase after and collect the yielded items. The same holds true in regards to the dropped items in battle except there is the Bouncywild Enemy Card that can be equipped in the card deck which will trigger the Draw ability that will attract all the items dropped by the enemies in battle.