How do Japanese people celebrate Tsukimi? It's done in a quiet manner. Traditionally, susuki (pampas grass) or other autumn flowers are decorated in a vase, and dango (dumplings) and satoimo (taro potatoes) are offered to the moon in an alter. People look at the moon, enjoying the beauty quietly. Tsukimi also has the meaning of celebrating the autumn harvest. Commonly, plain dumplings are stacked on a tray instead of skewered.
The word, tsukimi, is used in Japanese food as well. For example, tsukimi-soba and tsukimi-udon are well-known. They are noodles in hot soup topped with egg. They aren't food for moon viewing, but the word, tsukimi, is used as the cracked egg resembles the moon.