A high modulus textile cord (50) with at least triple twist (T1, T2, T3) comprises at least N strands (20a, 20b, 20c, 20d), N being greater than 1, twisted together with a final twist T3 and a final direction D2, each strand being made up of M pre-strands (10a, 10b, 10c), M being greater than 1, themselves twisted together with an intermediate twist T2 (T2a, T2b, T2c, T2d) and an intermediate direction D1 opposite to D2, each pre-strand itself consisting of a yarn (5) which has been twisted on itself beforehand with an initial twist T1 (T1a, T1b, T1c) and the direction D1, in which at least half of the N times M yarns have an initial elastic modulus denoted Mi which is greater than 2000 cN/tex. This textile cord can advantageously be used as a reinforcer in tires for vehicles, particularly in the belt or carcass reinforcement of these tires.