We construct relativistic equilibrium models of differentially rotating neu
tron stars and show that they can support significantly more mass than thei
r nonrotating or uniformly rotating counterparts. We dynamically evolve suc
h "hypermassive" models in full general relativity and show that there do e
xist configurations that are dynamically stable against radial collapse and
bar formation. Our results suggest that the remnant of binary neutron star
coalescence may be temporarily stabilized by differential rotation, leadin
g to delayed collapse and a delayed gravitational wave burst.