A two‐dimensional amorphous lattice has been constructed using the generalized random walk technique. The bond lengths and angles were obtained from the random number generation functions. The lattice sites were assumed to have a coordination number of three and were connected to form closed polygons. The lattice and the associated structural properties are calculated. A lattice dynamical calculation is then performed using this network as a two‐dimensional amorphous structural representation. The explicit vibrational spectra are obtained for the random network and the corresponding three‐fold‐coordinated honeycomb lattice.