A method for manufacturing dyed woven or knitted fabric includes preparing woven or knitted fabric using metallic yarn and normal-pressure dyeing polyester yarn having an elasticity modulus of 400 to 600 kg/mm2 and an elongation of 30 to 40%, fabricating a dye bath by putting a dye solution obtained by dispersing a dye in water, dyeing the woven or knitted fabric by putting the prepared woven or knitted fabric into the fabricated dye bath, raising a temperature of the dye bath starting from 35 to 45° C. for 30 to 50 minutes at a rate of 1.2 to 1.5° C./min, and maintaining the heated dye bath at 90 to 100° C. for 15 to 25 minutes, and washing the dyed woven or knitted fabric. The dyed woven or knitted fabric has a light reflection reduction rate of 20% to 30%.