Lampard's first home game in charge of the Rams was a sobering one as his team were outplayed by the team managed by Marcelo Bielsa.
Kemar Roofe restored Leeds' advantage midway through the half and the striker netted again after the interval before Ezgjan Alioski sealed the rout.
Four minutes later and it was four for the Whites, this time Alioski turning from provider to scorer as he powerfully headed home a Pablo Hernandez dinked ball in at the 64th minute, giving home keeper Scott Carson no chance.
What hopes Derby fans had that their side might mount a comeback in the second-half were dented on the hour when a sublime turn in the box by Roofe, the Leeds United striker spinning away from a bemused Fikayo Tomori, gave the former Oxford United man the space to lash a shot into the roof on the net.
He said: "We were under no illusions as to how hard it would be beforehand but we didn't deal with what they threw at us".
"I had my shot at it, which was really exciting, and we didn't get relegated".
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"But we're only two games in".
"We were well beaten by the better team".
Derby looked to rally with new recruit Martyn Waghorn looking a threat but Leeds continued to prove menacing and two more flowing attacks led by Hernandez threatened to bring United a third with Joe Ledley and Richard Keogh also booked for hacking down the unplayable Saiz.
Leeds need not have anxious about the near miss as they made it 3-1 on the hour, Roofe producing a great turn in the area to get clear before rifling a left foot shot into the top corner of the net.
It has been a flying start to the season, but head coach Bielsa is not getting carried away. "But the Championship is very long and it is not convenient to make conclusions now".
But who did you think stole the show?