Only occassional c ontainerships, plying between New Zealand and the UK or eastern USA or the West Indies via the Panama Canal, might stop at Pitcairn for delivering some goodies. They call approximately 3 to 4 times a year, but there is no regular scheduled service. There are many unscheduled calls at the option of the masters of passing ships. Charter yachts from French Polynesia provide an expensive option. Mangareva in French Polynesia is probably the best place to try your luck to pick up passage on a passing yacht.
Passenger ship is the only other way to get there.
Two passenger ships visit infrequently, but landings on Pitcairn are notoriously difficult. If you're intending to visit, be warned that it's not unknown to travel to the island and then be unable to set foot on land because of rough seas. Visiting Pitcairn will usualy be a choice between a short hop of the ship or staying for atleast a few months. Below listing provides you with an indication of the options. The Eye of the Wind is a traditionally-rigged sailing vessel with accommodations for 20 voyage crew.