You can have two health insurance plans. This dual coverage happens when you're covered through your employer and your spouse's employer, or under 26, or meet other dependency requirements defined by each plan, and on both your and your parents' plans.
Your two plans work together through the coordination of benefits. Insurance carriers determine which becomes your primary insurance based on factors like employment status, plan enrollment dates and dependent relationships. Your primary plan pays first, while your secondary coverage handles remaining costs. Combined payments won't exceed 100% of your medical expenses.