Preheat an oven to 375 degrees. Line a muffin pan with paper baking cups. In a medium bowl, combine sugar, oil and eggs; blend well. Stir in bananas and vanilla.
Add flour, baking soda and salt to the sugar mixture, stir just until combined. Gently fold in strawberries.
Spoon batter evenly into muffin tins. Bake for 17-21 minutes or until a toothpick inserted in the center comes out clean.