The visitors were on the front foot for long periods and Rams goalkeeper Frank Fielding made a pair of fine first-half saves from Michael Chopra and Lee Martin.
After the interval Fielding touched a Jay Emmanuel-Thomas drive onto the post and Town were unable to find a way through.
Derby's main threat came from the pace of Theo Robinson in attack and Ben Davies' set-piece delivery, and Jason Shackell had a header from the latter's corner cleared off the line in the closing moments.
The point lifts the Rams up to 12 in the table, while Ipswich remain a point behind them in 15th.
Derby last week