Track down the submission guidelines of the journal to find out which citation style it prefers. Some journals list this as a part of their Web site; others require that you send in an e-mail request for their information. The three primary styles in use are MLA, APA and Chicago.
MLA stands for Modern Language Association. This style is heavily associated with the liberal arts and humanities.
APA is American Psychological Association. This is the favored style of social sciences.
Chicago or Chicago-Turabian comes from the Chicago Manual of Style. Historians favor this style.
Read the guidelines you are given carefully. Just because the journal uses a specific citation style does not mean it has not made minor changes, such as whether or not it wants you to use footnotes or endnotes despite that not being what the citation style calls for.
Double-check your work. No matter how well you think you know the information, you should always double-check to make sure you are sending in the best work you have.