Preheat oven to 350 degrees and grease a 9X5 inch loaf pan. I like to also line my pan with parchment paper.
In a large bowl whisk together sugar, eggs, sour cream and oil until smooth. Add lemon zest and lemon juice and whisk again.
Add in flour, baking powder and salt and gently stir until combined, there may still be a few lumps but that's okay. Don't over mix.
Pour batter into pan, spread smooth and bake for 50-55 minutes or until an inserted knife comes out clean. If the top seems to be browning too quickly, you can make a foil "tent" over the top of the pan to keep from browning. Let cool.
Lemon Icing: Whisk together powdered sugar and lemon juice. You can adjust the thickness by adding more lemon juice or more powdered sugar depending on how thick of a layer of icing you prefer! Pour over cooled lemon loaf!