singularity of the index surface along the optic axes of these crystals, collimated laser beams undergo a conical distribution of the energy propagation that corresponds to an internal conical refraction. However, no practical application was immediately found for this effect after its discovery. It has been studied sporadically during the twentieth century [2][3][4]. Nowadays, some applications, trying to take advantage of this effect, are under investigation as beam transformation [5-9], optical tweezers [10,11], microscopy [12] and laser sources [13][14][15][16]. This recent increase in publications on this effect can be explained by the availability of biaxial crystals with good optical quality needed to observe the conical refraction (CR). Even if the diffraction theory, proposed in 1978 [17] and reformulated in 2004 [18], is able to well predict the CR pattern, the resonant mode inside a laser cavity is still not well known up to now.Lasing along the optic axis in KGd(WO 4 ) 2 (KGW) has gained a lot of interest since this orientation has been reported to be an athermal direction [19]. Then, several studies have reported the effect of conical refraction along this orientation [13][14][15]. The thermo-optic properties in such orientation have been recently measured [20]. They reported an astigmatic thermal lens along the optic axis of neodymium-doped KGW. This is not in agreement with the very good beam quality observed in [14] and rises the question of the influence on the beam quality of the conical refraction.Furthermore, for lasers, spectroscopic properties are of great influence on the overall performance. In case of a biaxial crystal, those properties are strongly dependent on the orientation and on the polarization. Those properties have been well described in another monoclinic host, the neodymium-doped YCa 4 O(BO 3 ) 3 (YCOB) [21]. However, for the holmium-doped KY(WO 4 ) 2 (KYW) monoclinic crystal used in this paper, which is very similar to KGW Abstract We report on the absorption profile of the monoclinic holmium-doped KY(WO 4 ) 2 crystal near the optic axis for the maximal absorption wavelength at 1960 nm. The full angular distribution of the absorption coefficient at the vicinity of such optical singularity has been experimentally and numerically investigated. Furthermore, laser experiments along the optic axis have been carried out. Socalled conical refraction laser and classical Gaussian laser operation are compared near the optic axis, taking into account the complex absorption profile.