The application process takes approximately 90 to 180 days to complete and consists of six phases. How do I apply to become a Houston police officer?Job Offer. Pre-Screening. This will start the process. Below are listings of current law enforcement employment opportunities throughout Texas. We update this list regularly, so please check back often. The steps in the hiring process are as follows: 1. Receipt of application and preliminary criminal background check of applicant. 2. Please briefly state why you wish to volunteer your time with the Houston Police Department. (Use another sheet if necessary) This question must be answered.