Machine for producing a coffee extract by the forced passage of a determined quantity of hot water under pressure, injected into a dose of ground roasted coffee beans which are contained in a capsule (20, 120, 121, 122), consisting of a body and a tight closure cover made integral with said body, said capsule having a specific shape, said machine comprising: a first subassembly comprising a support of said capsule provided with a cavity serving as a housing for said body of said capsule; a second subassembly comprising a generator of hot water under pressure; a third subassembly equipped with an injection device for injecting said quantity of hot water under pressure into said capsule; and a fourth subassembly provided with means for collecting said coffee extract, characterized in that: said first subassembly is arranged so that said capsule is placed vertically, the body at the top and the closure cover at the bottom; said injection device comprises a perforating member for perforating the tight closure cover of said capsule, said third subassembly being arranged so that the device for injecting the hot water under pressure moves vertically from bottom to top so as to perforate said closure cover to inject the hot water under pressure into the dose of ground roasted coffee beans, and to increase the pressure inside the body of the capsule in a manner sufficient to ensure the perforation of said closure cover by at least one perforation element of said closure cover at protuberances arranged on an inner surface of a filter or sieve provided with perforations and placed above a collecting chamber of said fourth subassembly; said injection device of said third subassembly comprising a movable injector provided with said perforating member; and the perforating member is off-centre in relation to the capsule support, the capsule support having a shape which is adapted to the specific shape of said capsule. a first subassembly comprising a support of said capsule provided with a cavity serving as a housing for said body of said capsule; a second subassembly comprising a generator of hot water under pressure; a third subassembly equipped with an injection device for injecting said quantity of hot water under pressure into said capsule; and a fourth subassembly provided with means for collecting said coffee extract, said first subassembly is arranged so that said capsule is placed vertically, the body at the top and the closure cover at the bottom; said injection device comprises a perforating member for perforating the tight closure cover of said capsule, said third subassembly being arranged so that the device for injecting the hot water under pressure moves vertically from bottom to top so as to perforate said closure cover to inject the hot water under pressure into the dose of ground roasted coffee beans, and to increase the pressure inside the body of the capsule in a manner sufficient to ensure the perforation of said closure cover by at least one perforation element of said closure cover at protuberances arranged on an inner surface of a filter or sieve provided with perforations and placed above a collecting chamber of said fourth subassembly; said injection device of said third subassembly comprising a movable injector provided with said perforating member; and the perforating member is off-centre in relation to the capsule support, the capsule support having a shape which is adapted to the specific shape of said capsule.