Line voltage and low voltage flexible rail lighting fixtures and system, namely, an electrical lighting system that delivers electrical current to a lighting fixture via a rail head, the system consisting of a linear or curved lighting fixture, suspended from a ceiling, and a rail head, namely, an electrical lighting structural accessory that serves as a connecting track, in the nature of a linear or curved section that connects to a lighting fixture and delivers electrical current to a light fixture that integrates a connector to the rail head and a lamp base as a light source, namely, Edison-based lamps, halogen lamps, xenon lamps, LED MR16 lamps, namely, an LED lamp consisting of a multifaceted reflector, halogen MR16 lamps, namely, a halogen lamp consisting of a multifaceted reflector, LED GU10 and GU24 lamps, namely, LED lamps whose base consists of two pins, halogen GU10 and GU24 lamps, namely, halogen lamps whose base consists of two pins