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.