The constable was identified as P Obulesu. Police nabbed him late tonight in Kurnool district of Andhra Pradesh, a senior police officer said, adding that he was being brought here and would be produced before the court tomorrow.
Obulesu was suspected to be the one who tried to kidnap Reddy.
He is at present deputed to the Excise Department.
In an audacious bid, a man wielding an AK-47 rifle tried to kidnap Reddy after he got into his car after a morning walk outside Kasu Brahmananda Reddy Park at around 7.15 am yesterday.
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The AK-47 rifle, which the assailant left in the car before fleeing, was identified as the one lost by Greyhounds in December last year, police had said.
Obulesu, a native of Kadapa district of Andhra Pradesh, was on leave for 15 days since November 11.
He was recruited as constable in APSP second battalion at Kurnool in 1998 and deputed to Greyhounds from 2002 to March 2014.