Chris Mochrie's 22nd-minute goal proved to be the winner
Dundee sustained defeat in Steven Pressley's first competitive match in charge as second-tier Airdrieonians got three points on the board in Premier Sports Cup Group C.
Player-manager Rhys McCabe set up Chris Mochrie for Airdrie's first-half opener, the attacker spinning away from his marker and clipping the ball past Trevor Carson.
Mochrie came close to getting his second as the teams traded chances after the break.
Billy Koumetio almost levelled for the hosts with a couple of headers and his captain Simon Murray tried unsuccessfully to find the bottom corner with a left-foot shot.
And one goal was enough to deny the Premiership hosts.
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