Abstract This communication presents a design and mathematical model for a winter greenhouse at Leh, Jammu and Kashmir in India. In this part of the country, the ambient air temperature, in winter, dips down to −30°C and goes up to a maximum of about 25°C in summer. Growing vegetation is difficult in this climate. Since the transportation of vegetables and other articles, to this place, is a problem, greenhouses are essential for the growth of vegetables. Here greenhouses are possible because solar insolation is available for almost 11 months of the year. Numerical calculations show that a glass wall on the south side and an insulated wall and roof on the north side give good results.