Choreography is the art of designing sequences of movements of physical bodies (or their depictions) in which motion or form or both are specified. Choreography may also refer to the design itself. A choreographer creates choreographies through the art of choreography, a process known as choreographing. It most commonly refers to dance choreography.

In dance, choreography may also refer to the design itself, sometimes expressed by means of dance notation. Dance choreography is sometimes called dance composition. Aspects of dance choreography include the compositional use of organic unity, rhythmic or non-rhythmic articulation, theme and variation, and repetition. The choreographic process may employ improvisation to develop innovative movement ideas. Generally, choreography designs dances intended to be performed as concert dance.

The art of choreography involves specifying human movement and form in terms of space, shape, time, and energy, typically within an emotional or non-literal context. Movement language is taken from dance techniques of ballet, contemporary dance, jazz, hip hop dance, folk dance, techno, K-pop, religious dance, pedestrian movement, or combinations of these.

The word choreography literally means "dance-writing" from the Greek words "χορεία" (circular dance, see choreia) and "γραφή" (writing). It first appeared in the American English dictionary in the 1950s, and "choreographer" was first used as a credit for George Balanchine in the Broadway show On Your Toes in 1936. Before this, stage and movie credits used phrases such as "ensembles staged by", "dances staged by", or simply "dances by" to denote the choreographer.

In Renaissance Italy, dance masters created movements for social dances which were taught, while staged ballets were created similarly. In 16th century France, French court dances were developed in an artistic pattern. In the 17th and 18th centuries, social dance became more separated from theatrical dance performances. During this time the word choreography was applied to the written record of dances, which later became known as dance notation, with the meaning of choreography shifting to its current use as the composition of a sequence of movements making up a dance performance.

The ballet master or choreographer during this time became the "arranger of dance as a theatrical art", with a well-known master of the late 18th century being Jean-Georges Noverre, with others following and developing techniques for specific types of dance, including Gasparo Angiolini, Jean Dauberval, Charles Didelot, and Salvatore Viganò. Ballet eventually developed its own vocabulary in the 19th century, and romantic ballet choreographers included Carlo Blasis, August Bournonville, Jules Perrot and Marius Petipa.

Modern dance brought a new, more naturalistic style of choreography, including by Russian choreographer Michel Fokine (1880–1942) and Isadora Duncan (1878–1927), and since then styles have varied between realistic representation and abstraction. Merce Cunningham, George Balanchine, and Sir Frederick Ashton were all influential choreographers of classical or abstract dance; Balanchine and Ashton, along with Martha Graham, Leonide Massine, Jerome Robbins and others also created representational works. Isadora Duncan favored natural movement and improvisation. The work of Alvin Ailey (1931–1989), an African-American dancer, choreographer, and activist, spanned many dance styles, including ballet, jazz, modern dance, and theatre.

Dances are designed by applying one or both of these fundamental choreographic methods: