We present a comprehensive theoretical analysis of the dc transport properties of superconducting point contacts. We determine the full counting statistics for these junctions, which allows us to calculate not only the current or the noise, but all the cumulants of the current distribution. We show how the knowledge of the statistics of charge transfer provides an unprecedented level of understanding of the different transport properties for a great variety of situations. We illustrate our results with the analysis of junctions between BCS superconductors, contacts between superconductors with pair-breaking mechanisms and short diffusive bridges. We also discuss the temperature dependence of the different cumulants and show the differences with normal contacts. PACS numbers: 74.50.+r, 72.70.+m, ∞ −∞ dτ I(τ /2)I(−τ /2) . The second cumulant, on the other hand, is defined by C2 = t 0 0 dtdt ′ I(t)I(t ′ ) . In the static situation the currentcurrent correlation function depends only on the time difference τ = t − t ′ and decays on some characteristic scale τ0. For long observation times t0 ≫ τ0 we find for the second cumulant C2 = (t0/2e 2 )SI .