A young girl aged six or seven was among the dead, he added.
People were sitting on benches under the outdoor overhang at the station in Novi Sad, Serbia's second city, at the time of the collapse around noon local time (11:00 GMT), Radio Television of Serbia (RTS) reported.
Three people are in hospital. Among them are two women who were pulled alive from under the rubble a few hours after the collapse.
In an address to the nation, Mr Vučić said he hoped the number of dead would not rise beyond 14, adding that five of those killed had still not been identified.
"Those responsible, I assure you, will be punished," he said, quoted by AFP.
Around 80 rescuers from all over the country are involved in the search, using heavy machinery, which is still ongoing.
The railway station building was renovated in 2021, and renovated again this year in order to be officially opened on 5 July.
AzVision.az
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