The Suffolk side had to come from behind after Kieran Lee gave the visitors a surprise half-time lead.
But Championship top scorer Daryl Murphy equalised with his 19th of the season before Chambers burst in at the far post to score an even better header to claim all three points.
It was no more than Ipswich deserved as they struck the woodwork twice and always looked more likely to add to their tally than concede a second.
A cagey opening burst into life on the quarter-hour mark when Murphy rifled his shot across goal and just wide.
Five minutes later, it was the visitors who took the lead slightly against the run of play.
A mix-up between Ipswich centre-back Christophe Berra and his keeper Bartosz Bialkowski saw the ball pop off the chest of the latter and into the path of Lee, who placed the ball into the empty net.
Ipswich looked to hit back straight away and Murphy’s run at the heart of the visitors’ defence ended with a powerful drive that Kieran Westwood pushed away from goal.
Wednesday came close to doubling their lead on the half-hour mark following a fantastic challenge by Sam Hutchinson on Teddy Bishop which set the visitors away.
Will Keane teed up his strike partner Stevie May but he screwed his shot wide of the far post.
The hosts went even closer with the last piece of action of an entertaining first half when Stephen Hunt’s cross picked out Murphy but his downward header came back off the inside of the post.
But the Town number nine did not have to wait long after the restart before equalising with another header.
Only seven minutes of the second half had been played when he flicked Freddie Sears’ precise cross past the diving Westwood.
And Ipswich went so close to taking the lead just before the hour mark when tigerish work by Sears and substitute Tyrone Mings down the left saw the latter cross for Ambrose who, unmarked, headed against the near post.
Mings, surprisingly dropped from the starting 11, cut inside and unleashed a low drive which just evaded the goal.
Ipswich were in the ascendancy and it was nothing more than they deserved when Chambers met Kevin Bru’s cross to rifle a header into the corner in the 67th minute.
It was the last bit of real action as the home side comfortably held onto their lead to get their Premier League push back on track.