Having only one sexual partner at a time.(adjective)
Monogamic; having a simple flower with united anthers.(adjective)
Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License
Use "monogamous" in a sentence
"And so began my Tarzan style of dating—swinging from one long-term monogamous relationship to the next."
"And I admit that it's hard to create and implement condom negotiation strategies geared for married women and women who believe they are in monogamous relationships."
"She raised her four children by Mr. Barker as a single mother, never settling into a long-term monogamous relationship."