I'm not sure what is meant by the phrase "target audience." The original "target audience" consisted of a broad cross-section of Elizabethan citizens. Playgoers at the time consisted of people of all sorts of educational and social levels. What is remarkable about all of Shakespeare's plays, however, is the high degree of literacy they seem to assume in their "ideal" audience. The scholar who has done most to advance discussion of Shakespeare's audiences is Andrew Gurr.
There are many different justifications which can be used to identify the target audience for William Shakespeare's play Romeo and Juliet.
First, Romeo and Juliet is most read in the high school classroom. While this environment may not have been what Shakespeare had in mind when creating the play, many high schoolers are familiar with the play only because of reading it in school. This audience is important because it helps to teach about the problems associated with young love, parental intrusion, and tragedy.
Second, one could say that the target audience for the play are those who simply love Shakespeare. One's simplistic love for his writings automatically make one a target for his plays.
Lastly, one could generalize the target audience as being one of both the young and the old. Both children (young lovers) and adults (the parents of young lovers) can learn from Romeo and Juliet.
Therefore, one could easily state that there is no target audience for the play. Like most texts, a target audience is hard to define. Unless a text is roted in history, science, or another specific field, an author cannot narrowly specify who will love their work.