It is illegal to employ a child under 14 except under specific circumstances. PROHIBITED OCCUPATIONS FOR 16- AND 17-YEAR OLDS.Yes, youth are entitled to minimum wage and overtime pay in Texas. Minors under 14 may not be employed in a hazardous occupation unless otherwise specified in the state's child labor law. In Texas, older minors—meaning 16- and 17-year-olds—may work as many hours as they'd like. According to WHD regulations, children 16 years of age or older may be employed for unlimited hours. (1) A child who is at least 14 years of age may apply to the Texas Workforce. Commission for a certificate of age. The Department of Safety may issue age certificates to 16 and 17yearolds. Governs the employment of children under Texas state law.