A vehicular running control apparatus, comprising: a curved road detecting section (101, S101, 10) configured to detect a state of a curved road located in front of a running road on which the vehicle is running on a basis of an obtained navigation information; a target vehicle speed calculating section (102,S106, 10) configured to calculate a target vehicle speed (Vr j, j = 1 ∼ n, n: integer) of the vehicle at the curved road on a basis of a state of the curved road detected by the curved road detecting section and a preset lateral acceleration set value (Yg*) of the vehicle; a navigation target deceleration calculating section (103, S110,, 10) configured to calculate a navigation target deceleration (Vgs j) at a present running position of the vehicle on a basis of the target vehicle speed calculated by the target vehicle speed calculating section; a yaw rate detecting section (22, 10) configured to detect a yaw rate and provide the detected yaw rate; a yaw rate target deceleration calculating section (104, S112, 10) configured to calculate a yaw rate target deceleration (Vgyaw*) of the vehicle on a basis of the yaw rate detected by the yaw rate detecting section and the lateral acceleration set value; a target deceleration selecting section (106, S114, 10) configured to compare the yaw rate target deceleration calculated by the yaw rate target deceleration calculating section with the navigation target deceleration calculated by the navigation target deceleration calculating section to select the target deceleration (Xg*) from one of the yaw rate and navigation target decelerations which is lower than the other; and a target vehicle speed command value calculating section (107, S116, 10) configured to calculate a target vehicle speed command value (Vrr) on a basis of the target deceleration selected by the target deceleration selecting section. a curved road detecting section (101, S101, 10) configured to detect a state of a curved road located in front of a running road on which the vehicle is running on a basis of an obtained navigation information; a target vehicle speed calculating section (102,S106, 10) configured to calculate a target vehicle speed (Vr j, j = 1 ∼ n, n: integer) of the vehicle at the curved road on a basis of a state of the curved road detected by the curved road detecting section and a preset lateral acceleration set value (Yg*) of the vehicle; a navigation target deceleration calculating section (103, S110,, 10) configured to calculate a navigation target deceleration (Vgs j) at a present running position of the vehicle on a basis of the target vehicle speed calculated by the target vehicle speed calculating section; a yaw rate detecting section (22, 10) configured to detect a yaw rate and provide the detected yaw rate; a yaw rate target deceleration calculating section (104, S112, 10) configured to calculate a yaw rate target deceleration (Vgyaw*) of the vehicle on a basis of the yaw rate detected by the yaw rate detecting section and the lateral acceleration set value; a target deceleration selecting section (106, S114, 10) configured to compare the yaw rate target deceleration calculated by the yaw rate target deceleration calculating section with the navigation target deceleration calculated by the navigation target deceleration calculating section to select the target deceleration (Xg*) from one of the yaw rate and navigation target decelerations which is lower than the other; and a target vehicle speed command value calculating section (107, S116, 10) configured to calculate a target vehicle speed command value (Vrr) on a basis of the target deceleration selected by the target deceleration selecting section.