If you're introducing a person to another, use the verb presentar:
- Me gustaría presentarme. I would like to introduce myself.
- Quiero presentarte a mi amigo. I want to introduce you to my friend.
- No me presentaron a nadie. They didn't introduce me to anyone.
It may be no surprise that in the above examples, presentar can usually be translated by "to present" as well.
When "to introduce" means roughly "to insert" or "to institute," introducir is often used as a translation:
- Los países que introdujeron las reformas más radicales parecían beneficiarse más de las mismas. The countries that introduced the most radical reforms seemed to benefit the most from them.
- Introdujo la medicina homeopática en México. He introduced homeopathic medicine in Mexico.
- La compañia introdujo el primer equipo estéreo. The company introduced the first stereo sound system.

