The Neyman Type - A distribution was developed by Neyman (1939) to describe the distribution of larvae in
experimental field plots. It is widely used in describing population under the influence of contagion and bacteriology. In this
paper, a generalization of Neyman Type-A distribution has been obtained by mixing the classical Poisson distribution with the
restricted generalised Poisson distribution of Consul and Jain (1973). Probability mass function of the proposed distribution has
been derived. The first four moments about origin as well as about the mean have been obtained. Parameters of the proposed
distribution have been discussed by the method of moments. It is expected that the obtained generalized distribution can explain
the variation in the various discrete data sets, having variance greater than the mean, more closely and in a better way than the
Neyman type -A distribution.