Most health inspectors have bachelors degrees. You will also most likely have to gain some kind of certification granted by your city or state. Find out the necessary certification in your area.
Make sure that your resume is up to date and reflects any education, special skills, employment, or experience you have had that would better prepare you to be a health inspector.
A good place to begin your hunt for employment opportunities as a health inspector is with job recruiters or employment agencies. They will most likely ask you to provide them with a copy of your resume and they may have other questions for you as well. Sometimes employment agencies and job recruiters will want to charge a fee for their services and sometimes they won't. Some may want you to work exclusively with them and some won't mind who else you work with. It is important to understand what their policies are before agreeing to anything.
Check the newspaper in the city you want to work in for employment opportunities as a health inspector. Many businesses run adds for employees in their cities newspapers classified section. The Sunday version of the paper will have the largest classified section.
The Internet is an abundant resource for job seekers. There are many job boards and employment sites online. Check for health inspector jobs daily as these sites are updated very frequently and you will want to respond quickly to any employment opportunities.
Ask people that you know, like your friends and family, if they know of any health inspector vacancies. Many people find work through someone that they know.
Good luck on your search for a job as a health inspector.