Roller compacted concrete pavement (RCCP) is a zero-slump and stiff-dry mixture which is usually placed with an asphalt paver and compacted by conventional vibratory roller compactors to achieve the required density. RCCP consistently has a slightly lower cement content than conventional concretes of similar strength. There are numerous studies on the mechanical properties of fibre reinforced focused on cement paste and normal concrete. However, our understanding of what exactly happens when hybrid fibres used to reinforce RCC mixes with respect to fracture toughness is quite limited. Accordingly, in this study, three point bending test was carried out on mono and hybrid fibre-reinforced RCC based on MTPM to determine the value of Mode I plane-strain fracture toughness of FRCC by considering possibility of crack deflection during its propagation through modified two-parameter fracture model. Results of the multi-linear regression model analyses for the kinking angle indicated that fibers did not have significant effects on the amount of ϴ in a 95% confidence interval. It can be concluded that the presence of different types, stiffness, and aspect ratio of fibers did not have a meaningful effect on the occurrence of the probable kinked crack during its stable growth. Finally, it can be observed that, for great amount of fracture angle, the application of Two-parameter fracture model instead of modified Two-parameter fracture model cause to an overestimation of the fracture toughness values.