The core industries had expanded at a rate of 7.2 per cent in the same period last year.
Cumulatively, in April-May 2013-14, the eight core sectors registered a growth of 2.4 per cent as against 6.5 per cent in the same period last year, according to official data.
"The decline in the growth rate in May was mainly on account of negative growth witnessed in the production of coal, crude oil, natural gas and fertiliser," it said.
"There is an urgent need to take steps to boost manufacturing. It will take some more months to see revival in the core sector data," Crisil chief economist D K Joshi said.
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The contraction in production of coal, crude oil, natural gas and fertiliser in the month under review this year was at 3.3 per cent, 2.4 per cent, 18.7 per cent and 2 per cent, respectively.
The eight core sector industries have a weight of about 38 per cent in the overall industrial production.
Petroleum refinery production showed an expansion of 5 per cent. However, the growth was subdued as compared to 23.4 per cent registered in May 2012.
Growth in electricity generation stood at 6.2 per cent, as against 5.9 per cent expansion registered in the May 2012.