Derek McInnes' visitors took an early lead through a fine strike from Neil Danns before Tommy Smith acrobatically drew the home side level.
A much-changed City XI were by far the brighter team in the opening exchanges as they looked to make it back-to-back away wins. Paul Anderson, making his first start for the club, had an opportunity after just four minutes but his right-footed shot was blocked by Smith.
And they took a deserved lead in the 11th minute, when the Tractor Boys failed to clear the lines and Danns took advantage with a fine low left-footed finish into the bottom corner from the edge of the box.
Five minutes later Tom Heaton made a fantastic save to keep their lead intact. The former Cardiff keeper denied DJ Campbell his ninth goal of the season before Liam Fontaine's vital tackle blocked the QPR loanee's second effort.
Albert Adomah was the late hero at Sheffield Wednesday in City's last away win but he wasted a great chance in the 25th minute, firing wide after being found by Jon Stead.
The visitors had not kept a clean sheet all season coming into this match so it was no surprise to their 240 travelling supporters when Ipswich drew level, Smith hooking Lee Martin's corner into the top of the net in the 32nd minute.
City started the second half as they had the first with Adomah forcing Stephen Henderson into a smart stop 30 seconds after the restart. Adomah then turned provider when he set up Danns but the Leicester loanee's curling effort took a deflection and flew wide.
Neither side could carve out a real chance in the final minutes of a forgettable second half.