Download and complete one form per permit for each job site. The form is in PDF format, can be filled out electronically and saved.This page will help you successfully submit an application for a building or grading permit. Our goal is to help you get your permit as quickly as possible. Find the best construction attorney serving Contra Costa County. Per Business and Professions. How to fill out the Application for Building Permit Contra Costa County? 1. Gather necessary project information. 2. 1. Obtain the application form from the relevant department. How to fill out the Contra Costa County Building Permit Application?