This paper introduces a new type of Weyl fermion, termed Type II Weyl fermion, which emerges at the boundary between electron and hole pockets in a new type of Weyl semimetal. This fermion was not recognized by Weyl in 1929 due to its violation of the strict Lorentz symmetry of high-energy physics. However, Lorentz invariance is not present in condensed matter physics, and the material WTe₂ is identified as an example of this novel topological semimetal hosting the new particle as a low energy excitation around a Type II Weyl node. This node, although still protected, has an open, finite density of states Fermi surface, leading to unique physical properties different from those of standard point-like Fermi surface Weyl points. Weyl semimetals exhibit non-trivial topological features, with semimetals (SM) having a vanishingly small density of states at the Fermi level. Two types of topological SMs, Dirac and Weyl, have been studied, with linear crossings of two or four bands at the Fermi level. The Weyl crossings are protected from gapping, a property of the massless nature of the Weyl fermion. The paper discusses the appearance of Weyl points (WPs), which act as topological charges and are stable to weak perturbations. WPs come in pairs and are associated with unusual physical phenomena, including open Fermi arcs on the surface and different magnetotransport anomalies. The paper presents evidence that WTe₂ is an example of the new type of topological semimetal hosting eight Type II Weyl points. These points are located 0.052 eV and 0.058 eV above the Fermi level. The paper provides topological arguments proving the existence of the novel topological semimetal phase in this material. Doping-driven topological Lifshits transitions and emerging Fermi arcs at the surface are also discussed. The paper also discusses the transport properties of the two types of Weyl points, highlighting the novel chiral anomaly in Type II Weyl semimetals. The chiral anomaly is observed when the magnetic field is applied in the direction where the kinetic term dominates. In contrast, for Type I Weyl points, the chiral anomaly is present for any direction of the magnetic field. The paper also discusses the thermodynamic properties of Type II Weyl points, showing that the density of states behaves differently compared to Type I Weyl points. The paper concludes that WTe₂ is a Type II Weyl semimetal, with the Fermi surface topology and possible topological Lifshits transitions discussed. The paper also discusses the topological surface states of WTe₂, showing that the (001) surface exhibits topologically protected surfaceThis paper introduces a new type of Weyl fermion, termed Type II Weyl fermion, which emerges at the boundary between electron and hole pockets in a new type of Weyl semimetal. This fermion was not recognized by Weyl in 1929 due to its violation of the strict Lorentz symmetry of high-energy physics. However, Lorentz invariance is not present in condensed matter physics, and the material WTe₂ is identified as an example of this novel topological semimetal hosting the new particle as a low energy excitation around a Type II Weyl node. This node, although still protected, has an open, finite density of states Fermi surface, leading to unique physical properties different from those of standard point-like Fermi surface Weyl points. Weyl semimetals exhibit non-trivial topological features, with semimetals (SM) having a vanishingly small density of states at the Fermi level. Two types of topological SMs, Dirac and Weyl, have been studied, with linear crossings of two or four bands at the Fermi level. The Weyl crossings are protected from gapping, a property of the massless nature of the Weyl fermion. The paper discusses the appearance of Weyl points (WPs), which act as topological charges and are stable to weak perturbations. WPs come in pairs and are associated with unusual physical phenomena, including open Fermi arcs on the surface and different magnetotransport anomalies. The paper presents evidence that WTe₂ is an example of the new type of topological semimetal hosting eight Type II Weyl points. These points are located 0.052 eV and 0.058 eV above the Fermi level. The paper provides topological arguments proving the existence of the novel topological semimetal phase in this material. Doping-driven topological Lifshits transitions and emerging Fermi arcs at the surface are also discussed. The paper also discusses the transport properties of the two types of Weyl points, highlighting the novel chiral anomaly in Type II Weyl semimetals. The chiral anomaly is observed when the magnetic field is applied in the direction where the kinetic term dominates. In contrast, for Type I Weyl points, the chiral anomaly is present for any direction of the magnetic field. The paper also discusses the thermodynamic properties of Type II Weyl points, showing that the density of states behaves differently compared to Type I Weyl points. The paper concludes that WTe₂ is a Type II Weyl semimetal, with the Fermi surface topology and possible topological Lifshits transitions discussed. The paper also discusses the topological surface states of WTe₂, showing that the (001) surface exhibits topologically protected surface