Nacelle for a two-flow aircraft turbomachine comprising a thrust reverser system, the reverser system comprising at least one thrust reversal cascade through which the air of a secondary duct of the turbomachine is intended to circulate in the active configuration of the reverser system, the system also having at least one reverser door configured to at least partially obstruct said secondary duct when the system is in the active configuration, the system also comprising at least one actuation jack, characterized in that, in an inactive configuration of the reverser system, the door is entirely housed in a housing space which is situated outside said secondary duct and in which said cascade, which is driven by said jack and of which a rear end is secured to a mobile outer nacelle cowling, is also entirely located, the system also comprising: - a first connecting piece of which a first end is connected to the inside of said mobile outer nacelle cowling by a first articulated connection, and of which a second end is connected to the reverser door by a second articulated connection; - a second connecting piece of which a first end is connected to a rear end of the reverser door by a third articulated connection, and of which a second end is connected to an inner wall of the secondary duct by a fourth articulated connection; and in that the reverser door is mounted at its front end on the cascade by way of a fifth connection allowing this front end to slide along the cascade and to pivot relative thereto, the second articulated connection being arranged between the third articulated connection and the fifth connection such that, when passing from the inactive configuration to the active configuration, the presence of the first and second connecting pieces (52a, 52b) combined with the action of said jack gives rise simultaneously to: - a rearwards movement of the cascade in the direction of a nacelle opening, opened up by the mobile outer nacelle cowling that is driven rearwards with the cascade; and - a combined movement of the reverser door relative to the cascade, resulting in both the movement of the front end of the door rearwards along the cascade and the pivoting of this door about the fifth connection so as to cause its rear end to enter the secondary duct. - a first connecting piece of which a first end is connected to the inside of said mobile outer nacelle cowling by a first articulated connection, and of which a second end is connected to the reverser door by a second articulated connection; - a second connecting piece of which a first end is connected to a rear end of the reverser door by a third articulated connection, and of which a second end is connected to an inner wall of the secondary duct by a fourth articulated connection; - a rearwards movement of the cascade in the direction of a nacelle opening, opened up by the mobile outer nacelle cowling that is driven rearwards with the cascade; and - a combined movement of the reverser door relative to the cascade, resulting in both the movement of the front end of the door rearwards along the cascade and the pivoting of this door about the fifth connection so as to cause its rear end to enter the secondary duct.