Derry secured their second Brandywell win over St Pat's in four days with this Setanta Cup Group Two victory.
Ciaran Martyn rounded the St Pat's keeper on 18 minutes but his shot struck the woodwork.
St Pat's midfielder Alan Kirby shot just wide before Martyn finished an excellent move by heading in from Gareth McGlynn's 38th minute cross.
Pat McCourt fired home at the backpost from a Niall McGinn cross to double the lead two minutes after the break.
It is City's first win in this year's competition but it takes them into second place and three points behind Linfield, who beat Glentoran 3-1 at the Oval.
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