Ferromagnets　with　structural　nanoheterogeneities　have　recently　been　found　to　exhibit　large　magnetostriction,　as　reported　in　a　considerable　number　of　Fe-based　alloys　soluted　with　non-magnetic　elements.　Unlike　homogeneous　ferromagnets,　where　their　large　magnetostriction　stems　from　strong　spin-orbit　coupling,　however　origin　of　the　large　heterogeneous　magnetostriction　is　still　in　debate.　In　this　work,　we　performed　a　comparative　study　between　the　cubic　supersaturated　solid　solution　Fe96Mo4　and　its　aged　counterpart　with　low-symmetry　nanoprecipitates.　The　results　showed　that　the　saturation　magnetostriction　can　be　enhanced　from　19　ppm　to　40　ppm　by　110%　through　introducing　coherent　low-symmetry　nanoprecipitates,　despite　of　reduced　saturation　magnetization　and　weakened　net　magnetocrystalline　anisotropy.　Further　structural　characterizations　revealed　that　the　coherent　nanoprecipitates　result　in　an　apparent　tetragonal　lattice　distortion　of　the　cubic　matrix,　i.e.,　the　spontaneous　magnetostriction　constant　(lattice　strain)　is　enlarged.　These　results　indicate　that　the　heterogeneous　magnetostriction　cannot　merely　be　attributed　to　the　spin-orbit　coupling,　but　also　is　closely　related　to　the　lattice　distortion　induced　by　the　coherent　low-symmetry　nano-heterogeneities.　©　2021　Elsevier　B.V.