Subspace codes have attracted a lot of attention in the last few decades due to their applications innoncoherent linear network coding, in particular cyclic subspace codes can be encoded and decoded moreefficiently because of their special algebraic structure. Using the union of several cyclic subspace codes, wepresent a family of cyclic subspace codes with minimum distance 2k − 2 and size seqk(qk − 1)s−1(qn − 1), where k|n, n/k ≥ 2s + 1, s ≥ 2, e = ⌈n/2sk⌉ − 1.