Sibling species are very similar in appearance, behaviour and other characteristics but they are reproductively isolated. In other words, sibling species are pairs or groups of genetically closely related species which are often morphologically indistinguishable, but are reproductively isolated, meaning that while they may interbreed, the offspring cannot reproduce.
There is actually considerable controversy about the nature and practicals of sibling species in taxonomy. Some authors define sibling species as a synonym for cryptic species, while others differentiate the two based on the feasibility for a correct species diagnosis or whether the two species are truly recognized. The debate also affects the definition of subspecies.
A key aspect is how similar are the challenged species. Some authors claim a sibling species should be plain impossible to diagnose from other(s) by morphology only.
You might be interested in taking a read on a recent paper of mine: