Someone strong-willed doesn’t give up easily. A strong-willed person is determined.
Your will is your desire or drive to do something, so a strong-willed person is someone with a powerful will. This can be positive or negative. A child who insists on going to the zoo in the rain is strong-willed in a stubborn way. Someone with deep beliefs is strong-willed in a better way. A hero — or anyone who shows courage — is strong-willed. You have to be strong-willed to stand up for what you believe in during difficult situations.