Lukaku´s 81st-minute goal proved the difference in a 1-0 victory over West Ham.
Everton controlled the majority of the first half and went close through Steven Naismith and Gerard Deulofeu, but neither could find a way past Adrian in the West Ham goal.
Steven Pienaar hit the post straight after the restart and Sam Allardyce´s men looked set to clinch a point after and their 14th clean sheet of the season before Lukaku struck nine minutes from time to send Everton back above Manchester United in the table.
FT Everton 1-0 West Ham