If a job description explicitly says to list your address, you would do well to do so. In the event you are concerned about your own safety or privacy, a way around this would be to arrange a phone call or to email the business or position’s contact personnel in order to make this known prior to submitting your application.
If a job description does not ask for your address, there are some options you can take. If applying for a local position, you can include your general location on your resume, such as your postcode and state information. Your exact address down to your house number and street name aren’t necessary here. If applying for a position that is further from your residence, not including your address on the resume can reduce the chances of being discriminated against because of the distance. However, if you are applying for a job that would require you to relocate, you must indicate that you are willing and prepared to do so, and perhaps have already begun the process.
When it comes down to it, the practice of including your address on your resume is a trend that was more relevant in the days of mail correspondence. Today, email and telephones replace this, making the need for your address to be listed in your application less necessary.