Guptill was playing only his second Championship game for Derbyshire
Derbyshire completed a six-wicket win over Glamorgan shortly after lunch on the final day in Cardiff.
Glamorgan were always up against it in their bid to save the game as they resumed on 250-7, a lead of just 96.
Their resistance did not last long as Tim Groenewald struck twice, including removing Mark Wallace for 70, to bowl them out for 283.
Set 130 to win, New Zealand opener Martin Guptill hit an unbeaten 70 to ease Derbyshire to their target.
Derbyshire threatened to wobble when both Wayne Madsen and Chesney Hughes fell cheaply to leave them 19-2.
But Wes Durston and Guptill steadied the nerves with a third-wicket stand of 56, before Guptill, who had brought up his half-century off 43 balls with a six, ended the game with another maximum 32 minutes into the afternoon session.
Glamorgan coach Matthew Mott told BBC Radio Wales:
"Clearly we didn't do what we set out to do, which was to be first innings champions. We played from behind the whole game.
"[I] thought we scrapped really well but unfortunately when you give away that much in the first innings it's always going to be an uphill battle and one we struggled to climb.
"It would have been very interesting another 50 or 60 runs could have made all the difference. But we didn't get there and clearly they were the better side."
BBC Wales cricket correspondent Edward Bevan:
"Just after two o'clock Glamorgan suffered their fourth Championship defeat of the season, Derbyshire winning quite comfortably by six wickets.
"The visitors needed 130 to win - they ended up on 131-4. Leading the way was the New Zealand opening batsman Martin Guptill, at the end he was 70 not out.
"Of the Glamorgan bowlers there were two wickets for Will Owen and one apiece for Harris and Wagg.
"Glamorgan were earlier all out for 283 in their second innings and in the end a convincing win for the visitors."
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