The company said it will use its own funds to reimburse about 46.3 billion yen to all 260,000 customers who lost their holdings of NEM, the 10th biggest cryptocurrency by market capitalisation.
On Friday, the company detected an "unauthorised access" of the exchange, and later suspended trading for all cryptocurrencies apart from bitcoin.
The resulting 58 billion yen (USD 530 million) loss exceeded the value of bitcoins which disappeared from MtGox in 2014.
The high-profile demise of MtGox failed to douse the enthusiasm for virtual currencies in Japan, which in April became the first country in the world to proclaim it as legal tender.
Nearly one third of global bitcoin transactions in December were denominated in yen, according to specialist website jpbitcoin.com.
As many as 10,000 businesses in Japan are thought to accept bitcoin and bitFlyer, the country's main bitcoin exchange, saw its user base pass the one-million mark in November.
Major Japanese newspapers today labelled the management of virtual currencies at Coincheck as "sloppy" and said the company had "expanded business by putting safety second".
Local media added the Financial Services Agency was expected to take disciplinary measures against Coincheck, which proclaims itself "the leading bitcoin and cryptocurrency exchange in Asia", following the theft.
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