How will a US citizen father apply for a citizenship for his child born abroad if he did not meet the required physical presence in the united states

The child would not have acquired citizenship at birth of his father did not meet all the requirements to transmit citizenship. In such a case, the father would need to file an immigrant visa petition on behalf of his child. This would give the child lawful permanent residence. You can read more about family immigration at http://myattorneyusa.com/family-immigration.