A brother-in-law is one's sister's husband, or one's spouse's brother. One's spouse's sister's husband is also considered a brother-in-law.[1][2] The plural of this term is "brothers-in-law".
Example: Rob and Gwen are married. Gwen has a Sister, Claire, and so Rob is Claire's brother-in-law. Claire will marry Neil, who will then become Gwen's Brother-in-law. Furthermore, Rob and Neil will become brothers-in-law to one another.
At least one source[3] uses "sibling" instead of "sister", allowing for the fact that one's brother may be married to a man.