Consider booking a cruise on a line outside of the United States. Currently, a few companies offer adults-only cruises. P&O Cruises has two child-free cruise ships, the Arcadia and the Artemis. Another British cruise line, Thomson, offers child-free cruises also. See resources for links.
Select a cruise line that does not offer kids' activities on board. If you avoid lines that cater to kids, you are less likely to have them on your cruise ship. Some of the lines that offer children's activities include Princess, Carnival and Disney.
Go on a cruise during the school year. You are less likely to have children on the cruise when school is in session. You are more likely to have children on the cruise during holidays and break times such as spring break and during the summer.
Plan a more expensive cruise. Children are less likely to be on luxury ships as parents tend to be more budget-conscious.
Cruise where families are less likely to want to go. You can almost bet there will be many children on a Disney destination cruise, but not as many on a cruise to parts of Europe.
Choose a longer cruise. Children have many obligations, including sports and school, that may prevent them from going on a long cruise.