Preheat oven to 350 degrees F. Grease and flour a bread pan.
In a medium bowl cream together the sugar and butter with an electric mixer.
Add and mix the eggs into the batter.
Sift together the flour, baking soda, and salt. Add to the creamed mixture and mix in.
Add the mashed bananas and mix until well blended.
Fold in the chopped nuts
Pour the batter into the prepared loaf pan.
Place in the preheated oven and bake 55 to 60 minutes.
Remove from oven and cool on cooling rack.
Remove from pan.
Store in an airtight container.