i shall explain how a new approach via the hodge-laplace heat equation works in solving the poincare-lelong equation. this method essentially is reduced to a uniqueness theorem and some estimates concluding the preservation of the d-closedeness of the solution of the hodge-laplace heat equation, and circumvents the essential difficulties of the elliptic method previously adapted by many people without being able to prove the best possible result. this is a joint work with luen-fai tam.