Omegle does not have a website designed for kids only. The Omegle homepage clearly states that the user must be 18+ or 13+ with parental permission.
The fine print on the Omegle website states that Omegle should not be used by users 13 and under. The site also provides a link for parents to review various types of parental controls they can install to assist in protecting children from potentially harmful websites. The website does provide information to safeguard children, but also states that human behavior is uncontrollable. The disclaimer asks users to avoid sexual content, and states that an account may be denied access for inappropriate behavior. The site is not intended for users under 13.