Based on your degree and where you are in your career, it can be either the least or the most important part of your resume.
Are you an experienced professional? It’s enough if you include the name of your university, name of your degree, and the year you graduated.
Are you a fresh graduate? Then your degree is still one of strongest cards you have to play. You should place your education section at the top of your resume — right between your professional summary and work experience section. Here's what you can include:
Academic awards. AP scholar, Duke of Edinburgh award, National Merit Award, President’s Award, school subject-based awards, dean’s list, etc.
Scholarships. Athletic scholarships, scholarships for women, creative scholarships, etc.
Academic conferences and symposia. Don’t forget to mention the scope and name of the paper you presented at a conference.
Relevant student societies. Debating or programming clubs. If you were on a student committee of any kind, mention that too.
GPA. Only include your GPA if it was higher than 3.0 on a 4.0 scale. If your overall GPA was lower, mention your overall GPA. Alternatively, mention your summa cum laude or magna cum laude.
Academic publications. Producing an academic work worth publishing is impressive no matter the context.