You jump over the Vic falls bridge, exactely at the border between Zambia and Zimbabwe.
Anyone in your hotel will address you to the right agency who organizes bungee.
Have to register and sign the good health declaration on the Zambia side of the bridge. Go back and jump !!!!!
Price on may 2000 was 90$ for two jumps - same person - maybe 50$ for one.
Tell to the customs you are going to jump, so they will leave you a temporary pass to Zambia.
But please, visit Zambia side of the falls. It is wilder and very savage. Visa from there is only 10$.
good luck