An "unconditional promise" is a statement that guarantees or commits to do something no matter what, without any conditions or exceptions. It is a pledge that will be fulfilled without any requirements or limitations.
Sentences with «unconditional promise»
The promise asserted here refers back to II Samuel 7:11 - 16, but in I Kings 8:25 the unconditional promise of II Samuel 7 has become conditional by the introduction of «if.» (religion-online.org)
The promises given to Abram were unconditional promises. (redeeminggod.com)