A travelling cable support arrangement of an elevator comprising: at least two travelling cables (51, 51A, 51B), a guide rail extending from a pit floor at least to a middle of an elevator shaft, an intermediate fixing point positioned in connection with the guide rail, the at least two travelling cables (51, 51A, 51B) being fixedly attached in said intermediate fixing point, a travelling cable keeper being movably supported on the guide rail so that the travelling cable keeper is movable upwards and downwards along the guide rail, the at least two travelling cables (51, 51A, 51B) being movably supported in support points (S1, S2, S3, S4, S5) on the travelling cable keeper, a path of the at least two travelling cables (51, 51A, 51B) through the support points (S1, S2, S3, S4, S5) in the travelling cable keeper being curved, the at least two travelling cables (51, 51A, 51B) being movable through the support points (S1, S2, S3, S4, S5), the travelling cable keeper comprising a frame formed of two frame halves (140A, 140B) and a support part being movably supported on the guide rail, each support point (S1, S2, S3, S4, S5) being formed of a group of roller elements or gliding elements, characterized in that each group comprises at least three roller elements or gliding elements positioned at a distance from each other in a radial direction of the curved path of the at least two travelling cables through the support points, each roller element or gliding element extending between the two frame halves (140A, 140B), the curved path of each travelling cable (51, 51A, 51B) passing between a pair of roller elements or gliding elements in the group of roller elements or gliding elements. at least two travelling cables (51, 51A, 51B), a guide rail extending from a pit floor at least to a middle of an elevator shaft, an intermediate fixing point positioned in connection with the guide rail, the at least two travelling cables (51, 51A, 51B) being fixedly attached in said intermediate fixing point, a travelling cable keeper being movably supported on the guide rail so that the travelling cable keeper is movable upwards and downwards along the guide rail, the at least two travelling cables (51, 51A, 51B) being movably supported in support points (S1, S2, S3, S4, S5) on the travelling cable keeper, a path of the at least two travelling cables (51, 51A, 51B) through the support points (S1, S2, S3, S4, S5) in the travelling cable keeper being curved, the at least two travelling cables (51, 51A, 51B) being movable through the support points (S1, S2, S3, S4, S5), the travelling cable keeper comprising a frame formed of two frame halves (140A, 140B) and a support part being movably supported on the guide rail, each support point (S1, S2, S3, S4, S5) being formed of a group of roller elements or gliding elements, characterized in that each group comprises at least three roller elements or gliding elements positioned at a distance from each other in a radial direction of the curved path of the at least two travelling cables through the support points, each roller element or gliding element extending between the two frame halves (140A, 140B), the curved path of each travelling cable (51, 51A, 51B) passing between a pair of roller elements or gliding elements in the group of roller elements or gliding elements.