Put zucchini in strainer and press or squeeze with hands to get excess liquid out. Beat eggs, sugar, and oil together. Add flour, baking powder, soda, cinnamon, salt, vanilla, and walnuts. Mix together by hand.
Add drained zucchini. Mix well. Pour into 2 greased and floured loaf pans. Bake 55 to 65 minutes at 350°, or until a wooden pick or cake tester inserted in center comes out with very little cake clinging to it.