Are you talking about STAAD.pro? I assume so, though the question could also apply to RAM Elements, RAM Concept, or AutoPIPE to name a few.
Springs are, by default, linear-elastic supports and by no means would I expect the spring reactions to be zero. You can make springs compression-only and in that case you are looking to eliminate tensile reactions. Normally that’s automatic, but if the structure is not completely stable, then some tension in your compression only springs might still result. If that happens, there is usually a global stability issue that needs to be addressed, by providing more resistance to overturning for example.
There is an excellent forum exchange on springs here: