A flexible filament lamp includes a bulb shell, a spiral LED filament, a lamp cap connected to the bulb shell, a stem disposed in the bulb shell, and first and second leads disposed in the stem. Both of the first and second leads are electrically connected to the lamp cap. The stem has a metal sheet bracket with a fixing ring extended from both sides of the metal sheet bracket for fixing the spiral LED filament. The first lead is electrically connected to an end of the spiral LED filament. The second lead is electrically connected to the other end of the spiral LED filament after passing through the metal sheet bracket. The metal sheet bracket disposed on the stem is integrally formed with the fixing rings. The flexible filament lamp of this invention will not be bent easily, so as to facilitate the operation and production.