A vehicle with an aerial work platform and a travel control device for said vehicle, comprising: - a traveling body having a steering wheel (12, 12L, 12R) and capable of traveling; - a revolving superstructure provided on the traveling body in a rotatable manner; - a boom (30; 31, 32, 33) provided on the revolving superstructure in a vertically swingable manner; - a work platform provided at a tip end of the boom (30; 31, 32, 33) and configured to allow an operator to board thereon; and - a steering operation device provided in the work platform and configured to be operated by the operator in the work platform; characterized in that the vehicle also comprises: a steering actuator configured to cause the steering wheel (12, 12L, 12R) to perform steering actuation; and a steering actuator controller configured to: - control actuation of the steering actuator in response to operation of the steering operation device, and correct an actuation speed of the steering actuator responsive to the operation of the steering operation device depending on the speed index value detected by the speed index-value detector to control the actuation of the steering actuator so as to achieve the corrected actuation speed, the travel control device comprises a speed index-value detector configured to detect a speed index value indicative of a travel speed of the traveling body, and the steering actuator controller is configured to control the actuation of the steering actuator in response to the operation of the steering operation device and depending on the speed index value detected by the speed index-value detector. - a traveling body having a steering wheel (12, 12L, 12R) and capable of traveling; - a revolving superstructure provided on the traveling body in a rotatable manner; - a boom (30; 31, 32, 33) provided on the revolving superstructure in a vertically swingable manner; - a work platform provided at a tip end of the boom (30; 31, 32, 33) and configured to allow an operator to board thereon; and - a steering operation device provided in the work platform and configured to be operated by the operator in the work platform; a steering actuator configured to cause the steering wheel (12, 12L, 12R) to perform steering actuation; and a steering actuator controller configured to: - control actuation of the steering actuator in response to operation of the steering operation device, and - control actuation of the steering actuator in response to operation of the steering operation device, and correct an actuation speed of the steering actuator responsive to the operation of the steering operation device depending on the speed index value detected by the speed index-value detector to control the actuation of the steering actuator so as to achieve the corrected actuation speed, the travel control device comprises a speed index-value detector configured to detect a speed index value indicative of a travel speed of the traveling body, and the steering actuator controller is configured to control the actuation of the steering actuator in response to the operation of the steering operation device and depending on the speed index value detected by the speed index-value detector.