We analyzed the asymmetries in the distribution of High Velocity Clouds. Some of the asymmetries may be explained with the supposition that they are distributed on a sphere and that they are falling to its center with a velocity Vᵢ which can be measured by an observer at the center of the sphere and moving with a velocity Vₚ in the direction lₚ,bₚ. Adjusting the observational parameters we derive: Vᵢ= -75 km/sec; Vₚ= 385 ± 5 km/sec, lₚ=110°±5° and bₚ=10°±5°. The conclusion is that a sample of High Velocity Clouds can be interpreted as gas clouds falling to the center of the local group of galaxies.