Scaffold system (1) consisting of, amongst other things, system posts (21,42), longitudinal and cross girder elements (10,11), floor elements (3,3 1 ), adjustable brackets (22) for the mason, especially suitable for stoke height H, being floor heights for residential and office buildings, of approximately 3000mm, in which the posts (21) must be strengthened or stiffened near the outer walls, especially due to the creation of scaffold buffers and higher loads due to storage of building bricks and mortar barrels, with a stiffening construction in the shape of ladder-shaped frames (2,31) or only by an extra post tube (25), which are coupled with a standard post (21,42) or replace this (31), through which, together with a special connection of the floor elements (3,3 1 ) with hook-shaped ends (4,5) the vertical and to a lesser degree horizontal stiffness or strength of the modular scaffold system (1) is enlarged.