A high-modulus rubber composition is based on at least a diene elastomer, a reinforcing filler, from 1 to 45 phr of reinforcing resin, from 1 to 10 phr of sulfur, and from 0.5 to 15 phr of vulcanization accelerator having a vulcanization initiation time, referred to as “t0”, of less than 3 minutes, said composition comprising no vulcanization accelerator having a “t0” of greater than or equal to 3 minutes or comprising less than 2 phr thereof.