Goalkeeper Stephen Bywater made some important early saves and Bobby Reid had a 66th-minute goal disallowed, and for long stretches City continually met a brick wall in and around the Burton box.
Birmingham, under the new management of Steve Cotterill, moved out of the relegation zone with an impressive 1-0 Championship home win over league leaders Cardiff.
An obviously fired-up Birmingham clinched a much-needed victory as a result of a fine Individual first-half goal from the highly rated Che Adams to give them optimism for the future.
Birmingham#8217;s success was warmly received as it was also something of a milestone as they had only won one of their previous 11 league games against Cardiff.
Burton produced a defensive masterclass to deny Bristol City second place with a goalless draw at Ashton Gate.
In his first game in charge, Cotterill was obviously delighted with the success and spirit shown by his team, while opposite number Neil Warnock was far from pleased with the outcome.