Preheat oven to 350 degrees F (175 degrees C). Lightly grease a 9×5 inch loaf pan.
In a large bowl, combine flour, baking soda, and salt. In a separate bowl, mix together Greek yogurt, vanilla extract and maple syrup.
Stir in eggs and mashed bananas until well blended. Stir banana mixture into flour mixture; stir just to moisten. Pour batter into prepared loaf pan.
Bake in preheated oven for 30 to 40 minutes, until a toothpick inserted into the center of the loaf, comes out clean. Let bread cool in the pan for 10 minutes, then turn out onto a wire rack.