Formal:
* Elle a les yeux bruns. (This is the most common and formal way to say it.)
Informal:
* Elle a des yeux bruns. (This is slightly more casual and can be used with friends or family.)
You can also use the verb "avoir" with the adjective "brun(e)" directly:
* Elle a des yeux bruns. (This is also informal.)
* Elle a des yeux brunes. (This is also informal and more common in French.)
The choice between "les yeux" and "des yeux" depends on whether you want to emphasize the eyes as a singular, definite entity (les yeux) or as a general characteristic (des yeux).