Papers for the meeting of the Astronomy Sub-Committee of the Research Grants Committee, Department of Scientific and Industrial Research, at State House, London, on 21 May 1964. The documents include minutes and matters arising from the sixteenth meeting of the sub-committee on 20 February 1964; the report of the sub-committee regarding major projects in astronomy; a note on membership of the sub-committee; 'General financial position and consideration of applications at this round of meetings'; 'Maintenance of the Cambridge and Manchester radio telescopes'; and 'Large cosmic ray showers at Haverah Park'. At the end are applications for Special Research Grants for work relating to an 'Experiment in Large Cosmic Ray Showers', 'Mass composition of the primaries of extensive air showers', 'Equipment development for stellar and laboratory spectroscopy', 'Improvement of telescope for solar, lunar and planetary observations', 'Maintenance of new Radio Telescope', 'Low noise solar spectroscopy using a vacuum spectrograph' and the 'Structure of Interstellar Gas Clouds'.