Bright supercontinuum was experimentally generated in an argon-filled hypocycloid-core Kagome fiber pumped by a femtosecond laser. The spectrum of the generated supercontinuum can be controlled by changing the gas pressure and input pulse energy. By use of a pump laser centered at 980 nm, a bright broadband supercontinuum ranging from 340 nm to 1550 nm was generated. The dynamics of the supercontinuum generation in the argon-filled Kagome fiber was investigated using an accurate carrier-resolving unidirectional pulse propagation equation.