Finance Minister Arun Jaitley said it did not come up for discussion in the cabinet meeting held this evening.
Earlier Union Health Ministry officials had said they will try to push for the clearance of the policy from the cabinet today itself.
The Health Ministry has prepared a note on the draft National Health Policy.
The proposed National Health Policy, which has been pending for the past two years, aims to provide assured health services to people as an "entitlement".
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A senior health ministry had earlier said the Ministry had not used the term - fundamental right- and instead used assured health services.
The ministry is also learnt have held several rounds of deliberations with various stakeholders, including government departments and states.
Under the earlier draft National Health Policy, 2015, it was proposed the Centre will enact a National Health Rights Act, which will ensure health as a fundamental right and whose denial will be "justiciable".
It suggests the Centre must amend laws to align them with the current healthcare scenario.