A clinical second-half display from Norwich saw Villa slip to a defeat despite taking the lead.
The two sides had to contend with difficult conditions at the Canaries' Colney Training Centre as heavy winds disrupted the flow of the game.
The claret and blues went in ahead at the break when Khaild Abdo's effort broke the deadlock.
The Swedish midfielder stroked the ball past Norwich keeper Ben Killip after meeting a cross from Jerell Sellars.
But 11 minutes after the break Kevin Randall rose highest to convert Ben Wyatt's cross.
The hosts took the lead just past the hour mark when Charlie Bannister parried a Rhys Browne shot but Lewis Byrne-Hewitt was on hand to score the follow-up.
Norwich grabbed a decisive third on 72 minutes when Randall evaded two challenges before curling a strike into the far corner.
VILLA: Bannister, O'Brien, Wildin [Benjamin, 65], T Strain, Zazrivec, R Strain, Lewis [Taylor, 60], Hepburn-Murphy, Sellars [O'Hare, 63], Abdo, Calder. Unused subs: Forth, Cox.