The invention belongs to the field of sulfur recovery, and particularly relates to an SWSR-8 pressurization sulfur recovery process. The process comprises the steps that acid gas enters a sulfur making furnace, H2S is subjected to a high-temperature Claus reaction and converted into sulfur, and sulfur enters a two-stage converter to conduct two stage catalytic conversion for recovering sulfur; sulfur making tail gas enters a hydrogenation reactor, under the action of a hydrogenation catalyst, SO2 and COS are reduced to H2S through hydrogenation hydrolysis, reduced H2S gas is absorbed with an MDEA solution, and after purified tail gas recovers heat through incineration, flue gas is exhausted to the atmosphere through a chimney, wherein the pressure of acid gas entering the sulfur making furnace ranges from 90 kPa(g) to 120 kPa(g), and the pressure of the sulfur making furnace ranges from 90m kPa(g) to 120 kPa(g). The pressure of cooling and heat exchange equipment such as a sulfur making waste heat furnace, a first stage sulfur condenser, a second stage sulfur condenser, a third stage sulfur condenser, a steam generator and a tail gas waste heat boiler is higher than that in the prior art, the total heat transfer coefficient is increased, the occupied area is decreased, catalytic and absorption reactions can be conducted conveniently, the sulfur recovery rate is increased, and SO2 discharge is reduced.