Powershift-capable multi-stage gearbox of planetary type of construction for arrangement between a drive-input shaft and a drive-output shaft for a vehicle, wherein the multi-stage gearbox has two parallel shaft strands (WS1, WS2), six switching elements (K1, K2, K3, K4, B1, B2), two spur-gear stages (STS1, STS2) and three planetary gear sets (PS1, PS2, PS3), wherein the planetary gear sets (PS1, PS2, PS3) each have a sun gear (SO1, SO2, S03), an internal gear (HO1, H02, H03) and a planet carrier, combined in a web (ST1, ST2, ST3), with multiple planet gears, wherein the two shaft strands (WS1, WS2) are connectable to one another by way of the two spur-gear stages (STS1, STS2), wherein, by selective engagement of the six switching elements (K1, K2, K3, K4, B1, B2), different transmission ratios can be realized between the drive-input shaft and the drive-output shaft, such that a multiplicity of forward gears, at least nine forward gears, and at least one reverse gear can be realized, wherein the drive-input shaft is arranged on a first shaft strand of the two parallel shaft strands (WS1, WS2), wherein the drive-output shaft is arranged on a second shaft strand of the two parallel shaft strands (WS1, WS2), a sun gear of a second planetary gear set of the three planetary gear sets (PS1, PS2, PS3) and the drive-input shaft are connected rotationally conjointly to one another and form a first connecting element, an internal gear of the second planetary gear set and a web of a third planetary gear set of the three planetary gear sets (PS1, PS2, PS3) are connected to one another and form a ninth connecting element, a fifth switching element of the six switching elements (K1, K2, K3, K4, B1, B2) is arranged in the power flow between a sun gear of the third planetary gear set and a gearbox housing, and a sixth switching element of the six switching elements (K1, K2, K3, K4, B1, B2) is arranged in the power flow between a web of the second planetary gear set and the gearbox housing, characterized in that the three planetary gear sets (PS1, PS2, PS3) are arranged on the first shaft strand, a sun gear of a first planetary gear set of the three planetary gear sets (PS1, PS2, PS3), a first spur gear (ST1a) of a first spur-gear stage of the at least two spur-gear stages (STS1, STS2) and an internal gear of the third planetary gear set are connected to one another by way of a second, third and fourth connecting element (2, 3, 4), wherein the second, third and fourth connecting element (2, 3, 4) have a common connecting point, and the second connecting element is furthermore connected to the sun gear of the first planetary gear set, the third connecting element is furthermore connected to the first spur gear (ST1a) of the first spur-gear stage, and the fourth connecting element is furthermore connected to the internal gear of the first planetary gear set, a first spur gear (ST2a) of a second spur-gear stage of the at least two spur-gear stages (STS1, STS2) and an internal gear of the first planetary gear set are connected to one another and form a fifth connecting element, a second spur gear (ST2b) of the second spur-gear stage and the drive-output shaft are connected and form a sixth connecting element, a web of the first planetary gear set and the drive-input shaft are connected to one another and form a seventh connecting element, a second spur gear (ST1b) of the first spur-gear stage and the drive-output shaft are connected to one another and form an eighth connecting element, wherein a second switching element of the six switching elements (K1, K2, K3, K4, B1, B2) is arranged in the power flow between the fourth connecting element and the web of the second planetary gear set.