Photograph of a Halbach array containing 2948 individual magnets, operating at Larmor frequency of 2.15 MHz, with a homogeneity of 2400 ppm over a 20 cm diameter of spherical volume. Display omitted •A 23 ring Halbach array of permanent magnets has been designed to operate at 2.15 MHz.•Addition of shimming rings gives 2400 ppm homogeneity over a 20 cm diameter.•Three-dimensional images with a resolution of 3.5 × 3.5 × 3.5 mm have been acquired. Modern clinical MRI systems utilise very high magnetic fields strengths to produce high resolution images of the human body. The high up-front and maintenance cost of these systems means that much of the world lacks access to this technology. In this paper we propose a low cost, head-only, homogenous Halbach magnet array with the potential for paediatric neuroimaging in low-resource settings. The homogeneity of the Halbach array is improved by allowing the diameter of the Halbach array to vary along its length, and also adding smaller internal shim magnets. The constructed magnet has a bore diameter of 27 cm, mean B0 field strength of 50.4 mT and a homogeneity of 2400 ppm over a 20 cm diameter spherical volume. The level of homogeneity of the system means that coil-based gradients can be used for spatial encoding which greatly increases the flexibility in image acquisition. 3D images of a “brain phantom” were acquired over a 22 × 22 × 22 cm field of view with a 3.5 mm isotropic resolution using a spin-echo sequence. Future development of a low-cost gradient amplifier and an open-source spectrometer has the potential of offering a fully open-source, low-cost MRI system for paediatric neuroimaging in low-resource settings.