Step 1: Understand nitrogen fixation.
Nitrogen fixation is the process of converting nitrogen gas (N\(_2\)) from the atmosphere into a form (ammonia, NH\(_3\)) that plants can use for growth. This process is carried out by certain microorganisms.
Step 2: Nitrogen-fixing microorganisms.
Two nitrogen-fixing microorganisms are:
- Rhizobium: These bacteria form a symbiotic relationship with leguminous plants and fix nitrogen in the roots of these plants.
- Azotobacter: A free-living bacterium that fixes nitrogen in soil independently.
Final Answer:
\[
\boxed{\text{Rhizobium, Azotobacter}}
\]