Since it can describe the rotation curves of galaxies without dark matter and can give rise to accelerated expansion, conformal gravity attracts much attention recently. As a theory of modified gravity, it is important to test conformal gravity with astrophysical observations. Here we constrain conformal gravity with SNIa and Hubble parameter data and investigate whether it suffers from an age problem with the age of APM 08279+5255. We find conformal gravity can accommodate the age of APM 08279+5255 at 3 sigma deviation, unlike most of dark energy models which suffer from an age problem. (C) 2013 Elsevier B.V. All rights reserved.