The distribution of the Gamow–Teller (GT) β+ strength is estimated for both oblate and prolate Hartree–Fock (HF) local minima for even-even nuclei with 62 ≤ Z ≤ 70 near the proton drip line, using the quasiparticle Tamm–Dancoff approximation (TDA) based on a deformed HF + BCS calculation with Skyrme interaction. The prolate local minima and the oblate local minima lie energetically close for these nuclei. Almost all the GT strength lies below the ground state of the mother nuclei in this region. The GT strength distribution is not sensitive to deformation. For the isotones N = 74 and N = 76 close to the proton drip line the total GT strength is always larger for the prolate shape than the oblate shape. Approaching the proton drip line the total GT strength increases.