The effect of velocity slip and temperature jump on the heat transfer from a sphere in a low Reynolds number flow is investigated theoretically for large and small values of the Pe´clet number. A singular perturbation technique is used to obtain the small Pe´clet number solution while a boundary layer analysis is used to obtain the large Pe´clet number results. Expressions are derived for the average Nusselt number in each case. It is shown that for small Pe´clet numbers velocity slip can be neglected in the first approximation however this is not found to be the case for large Pe´clet numbers.