A Simpson-Visser spacetime has two non-negative parameters and and its metric is correspond with (i) a Schwarzschild metric for and , (ii) a regular black hole metric for , (iii) a one-way traversable wormhole metric for , (vi) a two-way traversable wormhole metric for , and (v) an Ellis-Bronnikov wormhole metric for and . The spacetime is one of the most useful spacetimes for the purpose of comprehensively understanding gravitational lensing of light rays reflected by a photon sphere of black holes and wormholes. We have investigated gravitational lensing in the Simpson-Visser spacetime in a strong deflection limit in all the non-negative parameters of and . In a case of , two photon spheres and an antiphoton sphere at the throat degenerate into a marginally unstable photon sphere. The deflection angle of the light rays reflected by the marginally unstable photon sphere at the throat diverges nonlogarithmically in the strong deflection limit.