To　solve　the　problem　of　privacy　leakage　and　response　latency　in　outsourced　image　watermark　embedding　in　cloud　computing,　an　efficient　and　privacy-preserving　watermark　embedding　method　for　outsourced　digital　images　was　proposed　by　introducing　edge　computing　technology.　We　had　proposed　a　perturbing　encryption　method　with　homomorphism　to　ensure　the　information　security　and　the　correctness　of　discrete　wavelet　transformation　in　the　encrypted　domain.　In　addition,　the　framework　was　designed　to　guarantee　the　safety　of　singular　value　decomposition　that　edge　server　could　not　recover　the　original　image　matrix.　The　experimental　results　show　that　the　proposed　method　is　superior　to　similar　secure　watermarking　schemes　in　terms　of　encryption/decryption　time　and　ciphertext　expansion.　The　proposed　method　enables　the　watermarking　operation　to　be　performed　in　an　unsafe　outsourced　environment　while　achieving　a　watermarking　effect　similar　to　the　plaintext　equivalent.