A movable console for a vehicle, the movable console comprising: a housing which is slidable on a vehicle body; a moving duct mounted in the housing and slidable with the housing; a connecting duct configured to slide relative to the moving duct and to supply air received from a fixed duct fixed to the vehicle body to the moving duct; and a locking device configured to lock or unlock the connecting duct at a position of the fixed duct where an entrance of the connecting duct fluidically communicates with the fixed duct, wherein the moving duct includes a straight section slidably coupled with the connecting duct while being fitted over a portion of the connecting duct, maintaining in fluidical communication with the connecting duct continuously while the moving duct slides in a direction away from the connecting duct, characterized in that the locking device includes: a stopper which is configured to be fixed to the vehicle body; a locking lever rotatably connected to the connecting duct, wherein a locked state of the locking lever to the stopper is changed according to a rotation angle of the locking lever; a locking spring configured to apply elastic force to the locking lever in a direction in which the locking lever is locked to the stopper; and a locking release portion fixed to the moving duct to release the locking state of the locking lever from the stopper as the moving duct slides in a direction closer to the connecting duct. a housing which is slidable on a vehicle body; a moving duct mounted in the housing and slidable with the housing; a connecting duct configured to slide relative to the moving duct and to supply air received from a fixed duct fixed to the vehicle body to the moving duct; and a locking device configured to lock or unlock the connecting duct at a position of the fixed duct where an entrance of the connecting duct fluidically communicates with the fixed duct, wherein the moving duct includes a straight section slidably coupled with the connecting duct while being fitted over a portion of the connecting duct, maintaining in fluidical communication with the connecting duct continuously while the moving duct slides in a direction away from the connecting duct, characterized in that the locking device includes: a stopper which is configured to be fixed to the vehicle body; a locking lever rotatably connected to the connecting duct, wherein a locked state of the locking lever to the stopper is changed according to a rotation angle of the locking lever; a locking spring configured to apply elastic force to the locking lever in a direction in which the locking lever is locked to the stopper; and a locking release portion fixed to the moving duct to release the locking state of the locking lever from the stopper as the moving duct slides in a direction closer to the connecting duct. a stopper which is configured to be fixed to the vehicle body; a locking lever rotatably connected to the connecting duct, wherein a locked state of the locking lever to the stopper is changed according to a rotation angle of the locking lever; a locking spring configured to apply elastic force to the locking lever in a direction in which the locking lever is locked to the stopper; and a locking release portion fixed to the moving duct to release the locking state of the locking lever from the stopper as the moving duct slides in a direction closer to the connecting duct.