Answer: The executive official that are most closely associated with lawmaking is the Legislative Branch.
Explanation:
The Legislative Branch consists of 16 standing (or permanent) committees; the House of Representatives has 22. Each specializes in specific areas of legislation: foreign affairs, defense, banking, agriculture, commerce, appropriations and other fields.
Every bill introduced in either house is referred to a committee for study and recommendation. The committee may approve, revise, kill or ignore any measure referred to it. It is nearly impossible for a bill to reach the House or Senate floor without first winning committee approval. In the House, a petition to discharge a bill from a committee requires the signatures of 218 members; in the Senate, a majority of all members is required. In practice, such discharge motions only rarely receive the required support.
Source: http://www.let.rug.nl/usa/outlines/government-1991/the-legislative-branch-the-reach-of-congress/the-lawmaking-process.php