Nomination, apparatus, manipulating techniques, indications and theoretical basis of 14 single moxibustion styles including Chuijiu (insufflating moxibustion), Dianjiubi Jiu (pecking moxibustion with a pen-like stool), Jiujia Xunjiu (moxibustion with frame), Tongmai Wenyang Jiu (moxibustion for removing meridian obstructions and warming up yang), QifuJiu (moxibustion on umbilicus and abdomen), Xiongyang Jiu (moxibustion on the chest for reinforcing yang qi), Toujing Jiu (moxibustion on head and neck), Anmo Jiu (moxibustion with massage), Zhiti Jiu (moxibustion on extremities), Guan Jiu (moxibustion with a tube), Zu Jiu (moxibustion on foot), Wenzhenjiu (warm needling), Huanong Jiu (festering moxibustion) and Gewu Jiu (indirect moxibustion) are expounded in this article. And 10 compound moxibustion with the combination of 2 or more than 2 above mentioned single moxibustion style under the instruction of combination of local and distal points, combination of upper and lower points as well as combination of frontal and back points are also stated. It suggests to classify moxibustion into categories of festering moxibustion and mild moxibustion, indirect moxibustion and direct moxibustion, and to classify moxibustion apparatus into the categories of treating tools and assisting tools.