As described above, the investigations focusing on the tensile Young’s modulus of early-age concrete are few, and more experimental data will be needed to establish reliable predictive correlations for estimation of the tensile modulus. The present paper reports laboratory measurements of the tensile modulus within the first 7 days of hydration. Three concrete mixtures (with different W/C) were tested. In addition, to evaluate the effect of aggregate size, duplicate concrete mixtures were prepared and sieved before setting using a 5 mm mesh sieve. The resulting mortars were tested to determine their tensile Young’s modulus. Using the measurements results, a composite model was developed and calibrated which can serve as a simple method for estimating the tensile Young’s modulus of concrete.