A curved LED tubular lamp is disclosed. The curved LED tubular lamp includes a curved lamp tube having two straight segments and a curve segment disposed between the two straight segments; at least one flexible substrate having a plurality of LEDs mounted thereon, and at least one positioning pillar formed on the inner surface of the curve segment of the curved lamp tube, wherein each of the two straight segments and the curve segment have LEDs disposed therein, and wherein the flexible substrate is disposed in at least the curve segment.