According to Senior Superintendent of Police Pradip Yadav, a person in Palwal submitted two cheques of Rs 30 lakh each at a SBI branch to withdraw the money from the account of Hemraj's wife Dharmvati.
The person tried to withdraw the amount using a forged chequebook, similar to the one provided to Dharmvati by the SBI branch here, she said in a complaint.
The manager of SBI Palwal branch contacted his counterpart of Chata branch here, where the slain soldier's wife is maintaining an account.
A probe into the matter has begun and details of the person's account has been sought, the police officer said.
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Hemraj was killed and beheaded by Pakistani troops near the Line of Control in Poonch sector of Jammu and Kashmir on January 8.
The killing followed a nation-wide uproar leading to which ties between India and Pakistan, which were already strained after the 26/11 Mumbai attack, hit a new low.
The UP government and the Centre had given relief packages to Hemraj's family.