The St. George recoil mass separator at the University of Notre Dame has been used to study the 20Ne (α, γ)24Mg reaction. The reaction rate of 20Ne (α, γ)24Mg is important in advanced burning stages in massive stars such as carbon, neon and silicon burning. Three known resonance strengths have been measured as part of the commissioning experiments of St. George and the characterization of its focal plane detector. St. George rejects the un-reacted 20Ne beam and sends the 24Mg recoils into a particle identification detection system using the time-of-flight versus residual energy approach. The measured resonance strengths are in good agreement with the literature values. A path to study 20Ne (α, γ)24Mg at lower energy is discussed.