The injured, identified as Zachariah Koshy, works with the Ministry of Textiles, and is a resident of Shalimar Garden in Ghaziabad, they said, adding he was rushed to a nearby hospital where he is undergoing treatment.
Earlier in the day police had received a call that a man had "jumped before a moving train" at the station, they said.
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A Delhi Metro official had earlier suspected that it might have been a case of a "suicide bid".
The incident took place around 9:15 am and the train was moving towards Shahdara station, he said, adding services were "briefly affected".
"We have examined the footage of the incident, and there one can see that he accidentally fell on the tracks. He was there with his wife and standing very close to the edge of the platform. And, when the train was approaching he fell down and his feet got run over by it," a senior police official said.