The invention provides a full-spectrum LED light source and an LED lamp. The full-spectrum LED light source comprises an LED chip and fluorescent powder. The LED chip emits blue light with at least one wavelength, and the wavelength of the blue light is 440-470 nm; the fluorescent powder comprises first red fluorescent powder, second red fluorescent powder and green fluorescent powder, the periphery of the LED chip is coated with a mixture of the first red fluorescent powder, the second red fluorescent powder and the green fluorescent powder to form a full spectrum, the emission wavelength ofthe first red fluorescent powder is shorter than that of the second red fluorescent powder, and the green fluorescent powder is LuAG fluorescent powder. According to the invention, the real color of an object can be better restored, and the health of human eyes is better facilitated; through setting of different proportion formulas, simulation of sunlight in different time periods is achieved, thesimilarity Rf with sunlight is larger than 90, the fidelity and saturation are close to those of sunlight, health and comfort are achieved, common materials on the market are used, the price cost islow, the thermal stability is high, and manufacturing process management and control are easy.