Infrastructure industries expanded by 3.4 per cent in June, the lowest in 10 months, on a sharp slide in coal, electricity and cement output.
The six industries account for around 27 per cent of factory output measured by the Index of Industrial Production.
The last time growth was slower than this was in July 2008 when it expanded by 3.2 per cent.
In May 2010, the sector had grown by five per cent and in June 2009, growth was 6.3 per cent.
Industry grows by 11.5% in May
Economic slowdown: Is the end in sight?
Industry grows by 17.6% in April
Recession fears spook markets
India's industrial growth falls to 7%