Pulsars are rotating, magnetized neutron stars that are born in supernova explosions following the collapse of the cores of massive stars. If some of the explosion ejecta fail to escape, it may fall back onto the neutron star 1 or it may possess sufficient angular momentum to form a disk. 2 Such 'fallback' is both a general prediction of current supernova models 3 and, if the material pushes the neutron star over its stability limit, a possible mode of black hole formation. 4 Fallback disks could dramatically affect the early evolution of pulsars, 2,5 yet there are few observational constraints on whether significant fallback occurs or even the existence of such disks. Here we report the discovery of mid-infrared emission from a cool disk around an isolated young X-ray pulsar. The disk does not power the pulsar's X-ray emission but is passively illuminated by these X-rays. The estimated mass of the disk is of the order of 10 Earth masses, and its lifetime ( > ∼ 10 6 yr) significantly exceeds the spin-down age of the pulsar, supporting a supernova fallback origin. The disk resembles protoplanetary disks seen around ordinary young stars, 6 suggesting the possibility of planet formation around young neutron stars.The so-called anomalous X-ray pulsars 7 (AXPs) are a group of young ( < ∼ 10 5 yr) neutron stars with spin periods falling in a narrow range (5-12 s), no evidence for binary companions, and whose X-ray luminosities (∼ 10 36 erg s −1 ) greatly exceed their rates of rotational kinetic energy loss (∼ 10 33 erg s −1 ). AXPs are generally believed to be 'magnetars', 8 which are isolated neutron stars with exceptionally strong ( > ∼ 10 14 G) surface magnetic field strengths and whose magnetic energy ultimately powers their X-ray emission. An alternative explanation for AXPs attributes their X-ray emission to accretion from a residual debris disk, 9-11 but this model has had difficulties explaining observations. 12 The brightest known AXP is the 8.7 s pulsar 4U 0142+61, at a distance of 3.9 kpc (ref. 13). Besides its X-ray emission, the pulsar also has known optical 14 and near-infrared 12 (near-IR) counterparts.As part of a systematic search for fallback disks around young neutron stars, we observed the field around 4U 0142+61 in the 4.5 µm and 8.0 µm bands with the Infrared Array Camera (IRAC) on the Spitzer Space Telescope to look for the infrared excess predicted by models for an X-ray heated fallback disk. 15 We found a candidate mid-IR counterpart at the pulsar's position in both bands (Fig. 1) that has very unusual IR colours (Fig. 2). Based on the position coincidence and colours, we conclude that we have identified the mid-IR counterpart of 4U 0142+61.We can reconstruct the observed low-energy spectral energy distribution of 4U 0142+61 by combining our Spitzer data with existing IR and optical data 12,16 (Fig. 3). We may then infer the intrinsic spectrum by correcting for interstellar reddening. Although this reddening correction has little effect on the mid-IR data, it significantly affects the optical...