Multiparticle quantum interference is critical for our understanding and exploitation of quantum information, and for fundamental tests of quantum mechanics. A remarkable example of multi-partite correlations is exhibited by the Greenberger-Horne-Zeilinger (GHZ) state. In a GHZ state, three particles are correlated while no pairwise correlation is found. The manifestation of these strong correlations in an interferometric setting has been studied theoretically since 1990 but no three-photon GHZ interferometer has been realized experimentally. Here we demonstrate three-photon interference that does not originate from two-photon or single photon interference. We observe phase-dependent variation of three-photon coincidences with ð92.7 AE 4.6Þ% visibility in a generalized Franson interferometer using energy-time entangled photon triplets. The demonstration of these strong correlations in an interferometric setting provides new avenues for multiphoton interferometry, fundamental tests of quantum mechanics, and quantum information applications in higher dimensions. DOI: 10.1103/PhysRevLett.118.153602 In 1989, Franson [1] considered a light source that emits two photons simultaneously but at an unknown absolute time. These photon pairs, when sent through identical, but independent, unbalanced interferometers, display interference in the twofold coincidence rate, but not in the independent single detection rates [2]. This is the simplest manifestation of what we call genuine interference: certain multipartite entangled quantum states display correlations in the highest order with interference that cannot be explained by lowerorder interference [3][4][5]. The Franson interferometer is representative of a class of two-particle interferometers that convert continuous-variable entanglement into two-valued observables via the two output ports of an interferometer [6]. Accordingly, with three independent interferometers, three continuously entangled photons can show genuine interference as well. This is known as the GHZ interferometer [4,[7][8][9] and is shown schematically in Fig. 1(a). However, multiphoton entanglement experiments are considered less challenging when using polarization [10] and only Mermin's "three-spin gadget" [11] has been realized [12] rather than the three-photon GHZ interferometer. Such an interferometer differs from previously realized NOON-type interferometers, where the photons are manipulated together in a single interferometer to show superresolution effects with, in general, nonzero lowerorder interference [3,9,13,14].Energy-time entangled photon triplets can be described by a continuous superposition of triplet creation times [9],We let each photon individually propagate through an unbalanced interferometer with a time difference τ ¼3.7ns between the short and long arm, as shown in Fig. 1(a). The creation operators in Eq.(1) can be expressed in terms of the detection modes A n and B n (n ¼ 1, 2, 3) asThe detection modes correspond to the complementary interferometer output modes and thus par...