Calligraphy is the most unique and richest Chinese art. However, fewer people make much of it, let alone appreciation. The article is meant to sort out the basic pattern of know-how to interpret and appreciate Chinese calligraphy for intellectuals. The purpose is to achieve its popularity and everlasting application to all. The article first states the evolvement of Chinese characters and calligraphy, including the relationship between the art of calligraphy and Chinese characters, the transformation of calligraphy and patterns of calligraphers over the past dynasties, and the application and modern development of calligraphy. Then, the elements of expression and ways to appreciate calligraphy are analyzed to define the art of calligraphy, to generalize its principles of expression, and to demonstrate its elements of composition and steps to appreciate it systematically and concisely. The spiritual connotation of calligraphy art is surveyed later in the article, which also points out the ideal of the beauty appreciation, the foundation of philosophy and various branches incorporated in the ancient theory of calligraphy. In the end, seven conclusions are brought up to clarify the clutter.