A method for controlling travel of a drive-assisted vehicle comprising a controller that suppresses acceleration of a host vehicle on a curved route during travel along a host-vehicle travel lane, the method comprising: detecting a curved route on the host-vehicle travel lane on which the host vehicle is traveling; detecting whether another vehicle is present in a vicinity of the host vehicle; and establishing (S5, S6, S7, S8) a turning behavior threshold value established as a boundary value for suppressing acceleration of the host vehicle during travel on the curved route, characterized in that the threshold value is established (S5, S6, S7) so as to be lower when another vehicle is present on an outside-peripheral-side curved route adjacent to the host-vehicle travel lane than when another vehicle is not present on the outside-peripheral-side curved route; the method further comprising: acquiring (S9, S10, S11) a turning behavior index value, which is a value for evaluating a turning behavior state of the host vehicle during travel on the curved route, and determining whether the turning behavior index value is greater than the turning behavior threshold value; and permitting (S12, S13, S14) accelerating travel on the curved route upon determining that the turning behavior index value is less than or equal to the turning behavior threshold value, but suppressing accelerating travel on the curved route upon determining that the turning behavior index value is greater than the turning behavior threshold value. detecting a curved route on the host-vehicle travel lane on which the host vehicle is traveling; detecting whether another vehicle is present in a vicinity of the host vehicle; and establishing (S5, S6, S7, S8) a turning behavior threshold value established as a boundary value for suppressing acceleration of the host vehicle during travel on the curved route, characterized in that the threshold value is established (S5, S6, S7) so as to be lower when another vehicle is present on an outside-peripheral-side curved route adjacent to the host-vehicle travel lane than when another vehicle is not present on the outside-peripheral-side curved route; the method further comprising: acquiring (S9, S10, S11) a turning behavior index value, which is a value for evaluating a turning behavior state of the host vehicle during travel on the curved route, and determining whether the turning behavior index value is greater than the turning behavior threshold value; and permitting (S12, S13, S14) accelerating travel on the curved route upon determining that the turning behavior index value is less than or equal to the turning behavior threshold value, but suppressing accelerating travel on the curved route upon determining that the turning behavior index value is greater than the turning behavior threshold value. acquiring (S9, S10, S11) a turning behavior index value, which is a value for evaluating a turning behavior state of the host vehicle during travel on the curved route, and determining whether the turning behavior index value is greater than the turning behavior threshold value; and permitting (S12, S13, S14) accelerating travel on the curved route upon determining that the turning behavior index value is less than or equal to the turning behavior threshold value, but suppressing accelerating travel on the curved route upon determining that the turning behavior index value is greater than the turning behavior threshold value.