The invention relates to a composite spring damper capable of regulating initial stiffness. The composite spring damper is characterized in that a back pressure device is further arranged in a guide sleeve, wherein the back pressure device comprises three or more pre-compaction steel wire ropes, steel wire rope turning elements which are as many as the pre-compaction steel wire ropes, steel wire rope self-locking tensioning anchorage devices which are as many as the pre-compaction steel wire ropes and a floating back pressure steel plate; the pre-compaction steel wire ropes are distributed in a ring-shaped space in a folding mode; one end of each pre-compaction steel wire rope is symmetrically fixedly arranged on the floating back pressure steel plate around the axis of the guide sleeve; the other end of each pre-compaction steel wire rope is turned back after passing through one opposite steel wire rope turning element, then, passes through the floating back pressure steel plate beside a fixed point, on the floating back pressure steel plate, of each pre-compaction steel wire rope, and is fixedly arranged on a second end cover through each steel wire rope self-locking tensioning anchorage device; and each pre-compaction steel wire rope is tensioned to tension needed for setting initial rigidity, so that the composite spring is clamped between a drive component and the floating back pressure steel plate all the time.