Temperatures in Tenerife in September. Temperatures in September in Tenerife are still around 30°C during the daytime and the nights continue to be pleasant with temperatures in the low 20s°C. Average high temp at Tenerife South Airport: 27.9°C (82.2°F) Average low temp at Tenerife South Airport: 21.1°C (70.0°F) for Puerto de la Cruz, Weston super Mare, Tenerife. Level Contributor . 6,076 posts. 333 reviews. October weather 11 replies; Best area to stay 3 replies; Sandos San Blas Hotel 5 replies; Puerto de Santiago, Tenerife . Catalonia Punta del Rey. 5,988 Reviews . View Hotel. Las Caletillas, Tenerife . YiQo.