Charmless B Decays at CDF

he CDF experiment at the Fermilab Tevatron p-pbar collider pioneered the exploration of charmless b-hadron decays in hadron collisions. This provided a unique, rich and highly successful program of measurements that is currently reaching its full maturity. I report here results on two-body decays and the new analysis of B0s–>phiphi decays in a event sample corresponding to 2.9 fb-1.