Singh said Bihar Chief Minister Nitish Kumar has always supported "good people" and the JD(U)'s move to back Kovind reflects that stand.
Nitish is also JD(U) national president.
RJD chief Lalu Prasad Yadav has been critical of the JD(U) for supporting Kovind, a former Bihar governor, in the July 17 polls for the top constitutional post.
The RJD has thrown its weight behind former Lok Sabha Speaker Meira Kumar, the joint candidate of the Congress-led opposition parties who hails from Bihar.
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"There is nothing to criticise in this (the JD-U's decision to back the NDA nominee). I know Kovindji personally and he is a very nice person," Singh told PTI here.
The industries minister was here to take part in the Bihar Investors' Roadshow organised along with CII.
"It is also a moment of pride for Bihar that its (former) Governor has been selected as a nominee for President," Singh added.
Yadav had appealed to Nitish not to make a "historic blunder" by extending support to the NDA nominee in the presidential polls.
The JD(U) and the RJD are ruling alliance partners in Bihar. The Congress, too, is part of the ruling coalition in the eastern state.
The JD(U)'s decision to chart its own course in the presidential polls has brought fissures among the alliance partners to the fore. The Congress, too, is miffed with Nitish over his party's decision.