In this paper, we prove a uniqueness theorem for solutions to Lp-Christoffel-Minkowski problem with p<1 and constant initial data. Our proof is motivated by the idea of Brendle-Choi-Daskaspoulos’s work on asymptotic behavior of flows by powers of the Gaussian curvature. One of the highlights of our arguments is that we introduce a new Z function which is the key to our proof.