Summary: We prove the following Bernstein-type theorem: If \(u\) is an entire solution to the minimal surface equation, such that \(N-1\) partial derivatives \(\tfrac{\partial u}{\partial x_j}\) are bounded on one side (not necessarily the same), then \(u\) is an affine function. Its proof relies only on the Harnack inequality on minimal surfaces proved in [E. Bombieri and E. Giusti, Invent. Math. 15, 24–46 (1972; Zbl 0227.35021)] thus, besides its novelty, our theorem also provides a new and self-contained proof of celebrated results of Moser and of Bombieri and Giusti [loc. cit.].