The Scot steamrolled Lacko with six service breaks to move on to the second round during another 100-degree-plus day at the U.S. Tennis Center in New York.
Murray, the 2008 tourney runner-up, goes on to face 6-foot-5 Jamaican Dustin Brown.
In an upset Wednesday, Wimbledon runner-up Tomas Berdych fell to French left-hander Michael Llodra 7-6 (7-3), 6-4, 6-4. Llodra won despite having to tend to an injured foot during the second set.
Berdych was unable to break the Frenchman's quality serve.
American 18-year-old Ryan Harrison made his U.S. Open debut by upsetting 15th-seeded Ivan Ljubicic 6-3, 6-7 (4-7), 6-3, 6-4, who appeared to struggle with the heat.
Sam Querrey got past fellow American Bradley Klahn 6-3 4-6, 7-5, 6-4.
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