Nodal loop appears when two bands, typically one electron-like and one hole-like, are crossing each other linearly along a one-dimensional manifold in the reciprocal space. Here we propose a new type of nodal loop which emerges from crossing between two bands which are both electron-like (or hole-like) along certain direction. Close to any point on such loop (dubbed as a type-II nodal loop), the linear spectrum is strongly tilted and tipped over along one transverse direction, leading to marked differences in magnetic, optical, and transport responses compared with the conventional (type-I) nodal loops. We show that the compound K4P3 is an example that hosts a pair of type-II nodal loops close to the Fermi level. Each loop traverses the whole Brillouin zone, hence can only be annihilated in pair when symmetry is preserved. The symmetry and topological protections of the loops as well as the associated surface states are discussed.Topological metals and semimetals have become a focus of current physics research [1,2]. These materials feature nontrivial band-crossings in their low-energy band structures, around which the quasiparticles behave drastically different from the usual Schrödinger-type fermions. Depending on its dimensionality, the crossing manifold may take zero-dimensional (nodal point), onedimensional (nodal loop), or two-dimensional (nodal surface) form [3]. There has already been extensive studies on nodal points, especially on so-called Weyl and Dirac semimetal materials [4][5][6][7][8][9][10][11][12][13][14][15][16][17]. Recently, nodal loops begin to attract considerable interest: several nodal-loop materials have been proposed, with interesting physical consequences revealed [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].Consider the generic case of a nodal loop formed by the linear crossing between two bands in a three-dimensional system. Close to any point P on the loop, the dispersion is linear along the two transverse directions of the loop, and is at least quadratic along the tangential direction. The low-energy effective model near P can be expressed as (set = 1)up to first order in the wave-vector q measured from P . Here q i 's (i = 1, 2) are the components of q along two orthogonal transverse directions [see Fig. 1(a)], v i 's are