Method for weaving at least two laps joined together by at least one binding thread, characterized in that a) the weaving of the said laps (10, 11) is begun by inserting at least one additional warp thread or pick into the basic weave of a first lap, this additional thread or pick constituting the said binding thread, b) the weaving of the said laps (10, 11) is suspended before the said at least one binding thread is introduced into the basic weave of the said second lap, c) the said at least one binding thread is pulled from the side of the second lap, placing at least part of the pulled length on the outside of the assembly formed by these laps (10, 11) thus bound, d) then the weaving of the said laps (10, 11) is resumed with the said at least one binding thread being introduced into the basic weave of the second lap, - before each fresh introduction of the said at least one binding thread into the basic weave of one of these laps, the following cycle is repeated: e) the weaving of the said laps (10, 11) is suspended, f) the said at least one binding thread is pulled, placing at least part of the pulled length on the outside of the assembly formed by these laps (10, 11) thus bound, g) then the weaving of the laps (10, 11) is resumed, introducing the said at least one binding thread into the basic weave of the said lap. a) the weaving of the said laps (10, 11) is begun by inserting at least one additional warp thread or pick into the basic weave of a first lap, this additional thread or pick constituting the said binding thread, b) the weaving of the said laps (10, 11) is suspended before the said at least one binding thread is introduced into the basic weave of the said second lap, c) the said at least one binding thread is pulled from the side of the second lap, placing at least part of the pulled length on the outside of the assembly formed by these laps (10, 11) thus bound, d) then the weaving of the said laps (10, 11) is resumed with the said at least one binding thread being introduced into the basic weave of the second lap, - before each fresh introduction of the said at least one binding thread into the basic weave of one of these laps, the following cycle is repeated: e) the weaving of the said laps (10, 11) is suspended, f) the said at least one binding thread is pulled, placing at least part of the pulled length on the outside of the assembly formed by these laps (10, 11) thus bound, g) then the weaving of the laps (10, 11) is resumed, introducing the said at least one binding thread into the basic weave of the said lap. - before each fresh introduction of the said at least one binding thread into the basic weave of one of these laps, the following cycle is repeated: e) the weaving of the said laps (10, 11) is suspended, f) the said at least one binding thread is pulled, placing at least part of the pulled length on the outside of the assembly formed by these laps (10, 11) thus bound, g) then the weaving of the laps (10, 11) is resumed, introducing the said at least one binding thread into the basic weave of the said lap. e) the weaving of the said laps (10, 11) is suspended, f) the said at least one binding thread is pulled, placing at least part of the pulled length on the outside of the assembly formed by these laps (10, 11) thus bound, g) then the weaving of the laps (10, 11) is resumed, introducing the said at least one binding thread into the basic weave of the said lap.