A unit for cutting a food product into strips or cubes, with A) a loading zone, into which the food product to be cut can be loaded, B) a cutting device with a double grid device, the latter comprising a) a lower grid with aa) a lower holding frame, ab) a lower blade frame which can be coupled to the lower holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, ac) a lower guide device in which the lower holding frame is mounted for linear displacement, ad) a lower grid drive to which the lower grid can be coupled and which can be oscillated in the lower guide device when in a coupled state, b) an upper grid which is at a greater distance from the loading zone than the lower grid, with ba) an upper holding frame, bb) an upper blade frame which can be coupled to the upper holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, be) an upper guide device in which the upper holding frame is mounted for linear displacement, bd) an upper grid drive to which the upper grid can be coupled and which can be oscillated in the upper guide device when in a coupled state, C) an advance device with which the food product to be cut can be advanced from the loading zone onto the cutting device, characterized in that the upper holding frame of the upper grid is disposed between the lower holding frame of the lower grid and the lower blade frame of the lower grid. A) a loading zone, into which the food product to be cut can be loaded, B) a cutting device with a double grid device, the latter comprising a) a lower grid with aa) a lower holding frame, ab) a lower blade frame which can be coupled to the lower holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, ac) a lower guide device in which the lower holding frame is mounted for linear displacement, ad) a lower grid drive to which the lower grid can be coupled and which can be oscillated in the lower guide device when in a coupled state, b) an upper grid which is at a greater distance from the loading zone than the lower grid, with ba) an upper holding frame, bb) an upper blade frame which can be coupled to the upper holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, be) an upper guide device in which the upper holding frame is mounted for linear displacement, bd) an upper grid drive to which the upper grid can be coupled and which can be oscillated in the upper guide device when in a coupled state, a) a lower grid with aa) a lower holding frame, ab) a lower blade frame which can be coupled to the lower holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, ac) a lower guide device in which the lower holding frame is mounted for linear displacement, ad) a lower grid drive to which the lower grid can be coupled and which can be oscillated in the lower guide device when in a coupled state, aa) a lower holding frame, ab) a lower blade frame which can be coupled to the lower holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, ac) a lower guide device in which the lower holding frame is mounted for linear displacement, ad) a lower grid drive to which the lower grid can be coupled and which can be oscillated in the lower guide device when in a coupled state, b) an upper grid which is at a greater distance from the loading zone than the lower grid, with ba) an upper holding frame, bb) an upper blade frame which can be coupled to the upper holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, be) an upper guide device in which the upper holding frame is mounted for linear displacement, bd) an upper grid drive to which the upper grid can be coupled and which can be oscillated in the upper guide device when in a coupled state, ba) an upper holding frame, bb) an upper blade frame which can be coupled to the upper holding frame in a force-transmitting manner and which has a plurality of elongated blades which run parallel to and at a distance from each other, be) an upper guide device in which the upper holding frame is mounted for linear displacement, bd) an upper grid drive to which the upper grid can be coupled and which can be oscillated in the upper guide device when in a coupled state, C) an advance device with which the food product to be cut can be advanced from the loading zone onto the cutting device, characterized in that the upper holding frame of the upper grid is disposed between the lower holding frame of the lower grid and the lower blade frame of the lower grid.