Using images from the Hubble Space Telescope Wide-Field Camera 3, wemeasure the rate of diffusion of stars through the core of the globularcluster 47 Tucanae (47 Tuc) using a sample of young white dwarfs thatwere identified in these observations. This is the first directmeasurement of diffusion due to gravitational relaxation. We find thatthe diffusion rate κ ≈ 10-13 arcsec2Myr-1 is consistent with theoretical estimates of therelaxation time in the core of 47 Tuc of about 70 Myr.