We consider oriented percolation on Z(d) x Z(+) whose bond-occupation probability is pD(center dot), where p is the percolation parameter and D is a probability distribution on Z(d). Suppose that D(x) decays as vertical bar x vertical bar(-d-alpha) for some alpha > 0. We prove that the two-point function obeys an infrared bound which implies that various critical exponents take on their respective mean-field values above the upper-critical dimension d(c) = 2(alpha boolean AND 2). We also show that, for every k, the Fourier transform of the normalized two-point function at time n, with a proper spatial scaling, has a convergent subsequence to e-c vertical bar k vertical bar(alpha boolean AND 2) for some c > 0.