Random sequential adsorption (RSA) of n-star objects (consisting of n arms of equal lengths l, originating radially outward from the center with a uniform angular spacing of 2π/n) on a two-dimensional continuum substrate is studied. For all the values of n ranging from 3 to 200, the dynamics of adsorption is found to follow a power law ρ(∞)−ρ(t)∼ t−p, where ρ(∞) and ρ(t) are respectively saturated and instantaneous number densities of the adsorbed objects. The exponent p is found to increase monotonically with n but still remains significantly lower than 0.5, the exponent for RSA of circular discs, indicating that RSA dynamics of this class of objects is totally different than that of circular discs. The exponent p does not follow the law p=1/df, where df is degrees of freedom of the object. Also ρ(∞) reveals a systematic n dependence and an attempt is made to understand the same. Analytical and simulation results are found to be in fair agreement, however the treatment given is based on crude approximation and more profound theory is to be sought for better understanding of the dynamics of the process.