We characterize the entanglement in position and momentum of photon pairs generated in type-II parametric down conversion. Coincidence maps of the photon positions in the near field and far field planes are observed in two transverse dimensions using scanning fiber probes. We estimate the covariance matrix of an effective two-mode system and apply criteria for entanglement based on covariance matrices to certify space-momentum entanglement. The role of higher order spatial modes for observing spatial entanglement between the two photons is discussed.