We numerically demonstrate a kind of tapered hollow silver waveguide for optically guiding and focusing of light through finite-difference time-domain (FDTD) simulations. The results of numerical simulation reveal that the tapered hollow silver waveguide can efficiently guide and focus a laser light to a tiny, highly localized beam spot of 1 μm diameter. The physical mechanism of the cone-focused laser light is explored. The influence of incident angle and waveguide geometry on the focusing properties is also discussed. The results obtained here might have important reference value for applications in tapered optics, and designing the optimum cone shape for fast ignition and generating high energy charged particles.