Preheat your oven to 350°F (175°C).
In a mixing bowl, cream together the sugar and butter until light and fluffy.
Add the grated zucchini and vanilla extract, and mix well.
In another bowl, whisk together the flour, baking soda, cinnamon, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Fold in the chocolate chips.
Drop spoonfuls of dough onto a baking sheet.
Bake for 12-15 minutes, or until the edges are golden brown.
Let cool on a wire rack before serving.