The man argued that circumcision would be in accordance with his religious beliefs.
But the boys' mother, who is separated from their father, disagreed.
At a Family Court hearing in Exeter, Mrs Justice Roberts said the boys, who are six and four, should first reach an age where they can make the decision for themselves.
'Individual choices'
The man had argued that it would be "in the children's best interests to allow them to be circumcised" in accordance with his "Muslim practice and religious beliefs".
His former partner "opposes that course until such time as the children have reached an age where they are competent to give consent to such a procedure," the judge added. [BBC] Read more