According to sources, high level authorities of the board asked its legal team to approach the apex court with an SLP.
The board may file the petition within two days after studying the HC order, sources told NDTV.
Although, according to reports, CBSE class 12 results will be declared this week itself, but, much would be resolved after Supreme Court's decision on the SLP.
The Delhi High court yesterday asked the CBSE to continue with the policy which was in place when the examination forms were submitted last year.
On May 22, the High Court had termed as "unfair and irresponsible" the board's decision to scrap its 'moderation policy' under which grace marks are given to students in exams for difficult questions and had asked why it cannot be implemented from next year.
The CBSE along with 32 other boards had decided to do away with the marks moderation policy last month.
In an interview today, HRD Minister Prakash Javadekar has supported the policy and said it will stay in effect for now, but, he said that the spiking of marks is 'absolutely unacceptable'.
(With Inputs from Agencies)
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