An adjustable damping valve arrangement comprises an adjustable damping valve in which flow is bidirectional, wherein a pressure-dependent supplementary valve is associated with the adjustable damping valve in series therewith for each through-flow direction. Each supplementary valve has at least one separate through-channel, the outlet side thereof being at least partially covered by at least one valve disk. The flow path proceeding from the adjustable damping valve in flow direction is carried out through the first supplementary valve from a smaller inlet diameter to a larger outlet diameter, and the at least one valve disk carries out a peripheral lift movement. The flow path through the second supplementary valve in flow direction to the adjustable damping valve is implemented from a larger inlet diameter to a smaller outlet diameter.