It was the struggling Suffolk side's fifth draw of the season, however it did lift them off the foot of the Championship table on goal difference and they remain unbeaten at home after playing most of the game against 10 men after Bolton defender Marc Wilson was sent off.
Both sides were having difficulty stringing worthwhile passes together and the flow of play was punctuated by tackles and offside decisions with the two strikers for both sides, Josh Magennis for the visitors and Kayden Jackson for Ipswich, having to live off long balls through the middle of the park which was dominated by defenders.
However, neat play between Jonathan Grounds and Will Buckley led to the first corner – midway through the first half – which was struck wide by Ireland international and summer signing Wilson.
Then a darting run by Ipswich midfielder Grant Ward in the 28th minute led to a foul from Joe Williams but the resulting free-kick by Gwion Edwards was fired straight at Bolton goalkeeper Ben Alnwick.
Wanderers were then reduced to 10 men in the 34th minute when Wilson was shown the red card by referee Stephen Martin.
It began when Ward evaded two tackles down the left and fed Jackson, who outpaced the Bolton defender only to be fouled just outside the penalty area.
As a result the visitors made an immediate substitution with central defender David Wheater replacing attacking midfielder Erhun Oztumer.
But Ward's resulting free-kick struck the defensive wall and went out for a corner.
Fulham loanee Tayo Edun was introduced at the start of the second half as Ipswich replaced Trevoh Chalobah.
The hosts pressed for an opener and – in the 51st minute – Town left-back Jonas Knudsen's right-footed shot from outside the box was blocked by Wheater for a corner.
Ipswich were dominating the play as the hour mark approached but the Bolton defence held firm as they pulled every player back behind the ball.
Jonathan Walters and Jordan Graham were introduced for Ipswich in the 71st minute and moments later a rare Bolton attack led to them winning a corner.
But Walters, who was struggling with an Achilles problem, went down in the penalty area in the 78th minute after chasing the ball and succumbed to his injuries – leaving his side also with 10 men as all three substitutions had already been made.
Wheater had a wonderful chance to take the lead for Bolton five minutes later but his shot was blocked by Toto Nsiala.
Then Alnwick produced a wonderful save from a header by Ipswich skipper Luke Chambers following a free-kick by Graham as both sides held on for a point.