Kheta Ram took 13 mins 55.28 secs to complete the run.
The Rajasthani was just one-tenth-of-a-second behind for the silver medallist while Mohd. Yunus from Maharashtra and ONGC runner Suresh Kumar were third and fourth, clocking 13:55.62 and 13:56.53 respectively.
The top-four finishers running under 14-minutes in a national event thus showed the intensity of competition and rivalry between the athletes. In recent times only Surendra Singh clocked two sub-14 mins timings in 2009 in India prior to today's race at the Inter-State and Open Nationals.
Three other runners from Kavita's home state Maharashtra, Lalita Babar (35:35.08), Monika Athare (35:44.80) and Manisha Salunkhe (36:05.16), finished in that order behind the winner.
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110m hurdles record-holder Siddanth Thingalaya pushed the much-fancied Sameer Mon and Manikanda Raj to become the fastest man of the meet with a timing of 10.55 secs.
Kerala girl Merlin K Joseph maintained her state's tradition by taking the women's title in an excellent 11.75 secs.
Srabani Nanda from Odisha was one-hundredth of a second faster than Bengal's Asha Roy (11.89 to 11.90s) for the second spot.