The optical phase singularities in higher order linearly polarized LP₀₂ mode of a few mode optical fiber are investigated. The LP₀₂ mode is selectively excited by controlling launching conditions of light into the core of few mode optical fiber. The fiber output is made to interfere with reference Gaussian beam to form interferograms. A couple of fork like structures were observed in the interferograms which signifies the presence of phase singularity in the excited LP₀₂ mode. The net topological charge of the modal field of LP₀₂ mode is observed to be zero as a consequence of two oppositely charged forks.