Abstract Greenland ice mass variations from January 2003 to December 2012 are recovered with the data of GRACE RL05. A combined algorithm of the de-correlated filter and Gaussian filter is constructed. The rate and acceleration of the Greenland ice mass change are computed by using linear and quadratic polynomial fitting. The results show that the melting of the Greenland ice sheet is accelerating on the whole island, with prominent ice sheet mass loss in the southern and northwest regions. During the recent ten years, after the deduction of the glacial isostatic adjustment and of leakage errors effects, the melting rate and acceleration of the Greenland ice sheet are -157.8±11.3 Gt/a and -17.7±4.5 Gt/a2, respectively. The melting mass has been accelerating significantly from 2010, 〖JP2〗with the rate of -132.2 Gt/a in 2003-2009 and the rate of -2525 Gt/a in 2010-2012. The melting rate in the Northeast tends toward stability, the melting acceleration of middle east Greenland is positive which shows the melting of ice mass in this district is slowing, but the melting of the ice mass is accelerating in the northeast and middle east after 2010.