Roses are commonly propagated by

Roses are propagated or reproduced, either by seed or by taking cuttings from an existing bush.
Seeds will take on a genetic mixture of two mated plants. The pollen that fertilizes the flower might not have come from the plant with the flower on it.
Propagating herbaceous plants is very often done by rooting green stem cuttings, but the process can also be successful with woody-stemmed plants, including some roses.
New varieties of rose are usually propagated by grafting. The rootstock allows adapting the root system to the soil.
Thus, roses can be propagated by seeds, grafting as well as stem cutting.