The invention relates to a production method of converter smelted low-sulphur steel. The production method comprises following steps: 1, molten iron KR stirring desulfurized lime powder, fluorite, and aluminium slag are mixed at a ratio of 10:1:1, wherein ladle slagging-off rate is controlled to be 90% or higher, and the S content of molten iron put into a furnace is controlled to be 0.003% or lower; 2, reactor washing after smelting of a former batch of non low sulphur steel and before smelting of a first batch of low-sulphur steel is carried out; 3, remaining slag and double slag operation is adopted in smelting of low-sulphur steel. According to the production method, reactor washing, remaining slag, and double slag treatment are combined for smelting in a converter, and reactor washing after smelting of a former batch of non low sulphur steel and before smelting of a first batch of low-sulphur steel is carried out, so that the sulphur introduced by remaining slag operation of the first batch of low-sulphur steel smelting is reduced, combination of remaining slag and double slag is beneficial for stable control of end point low sulphur content, converter end point sulphur content is controlled to be 0.005% or lower stably, the lowest sulphur content is 0.001%, technical guarantee is provided for development of low-sulphur novel steel; and at the same time, converter average smelting period is shortened by 4min or longer, converter operation efficiency is increased, and production capacity is increased.