In 2007, Lambert was reelected to the House without opposition. He was the vice chairman of the House Appropriations Committee and the Subcommittee on Education. He was a member of the committees on the Budget and Natural Resources and Environment as well as the subcommittees on Business Development and Litigation.<ref name=votesmart/>
In 2011, Lambert voted with the House majority to make the Louisiana [[cigarette]] tax permanent. He then voted to override a veto by then Governor [[Bobby Jindal]], who killed the permanent cigarette tax. The veto override failed to gain the two-thirds needed vote of the state House. Lambert voted to prohibit the holding of hand-held cellular devices while driving, another measure which failed. In 2010, he was ranked 100 percent by the Louisiana Association of Business and Industry, but only 58 percent in 2008-2009 by the Louisiana National Federation of Independent Business.<ref>{{cite web|url=http://www.votesmart.org/summary.php?can_id=35405|title=Rep. Eddie J. Lambert's Political Summary|publisher=votesmart.org|accessdate=October 14, 2019}}</ref> Considered a strong [[conservative]], Lambert focused on extending and improving the road network in House District 59. Lambert He also favoed requiring lawmakers and local officials to disclose their personal incomes.<ref name=mlgs>{{cite web|url=http://www.mobilelgs.com/LambertEddieJ.html|title=Rep. Lambert, Eddie J.|publisher=mobilelgs.com|accessdate=July 16, 2011}}</ref>
Most of Ascension Parish falls within House District 59, located on the east bank of the [[Mississippi River]] and among the fastest-growing areas of the state. Former farmlands have become suburbia, with residents from Baton Rouge fleeing urban problems but still plagued by floods and hurricanes. Gonzales is a major retail center, with a large outlet mall nearby but outside the House district. Ascension Parish still has many working-class residents employed in construction and petrochemical plants, but the influence of [[organized labor]] there has declined in recent years. Suburban development has brought more middle-class residents who commute to administrative, government. and professional positions in Baton Rouge.<ref name=mlgs/>