Monte Carlo simulation technique has been used to investigate the static properties and translocation characteristics of ring polymers in two dimensions. Each chain consists of exible linkage between monomers forming a closed loop. We consider the unbiased translocation process of the ring where the polymer translocates purely due to thermal uctuations. The average escape time has been analyzed as a function of chain length N. And we found that, the polymer escape time of the ring polymers having a length N < 100, also has a scaling behavior N where is more closer to 1 + 2 in which is the Flory exponent of value 3/4 in 2D and 3/5 in 3D. Such scaling is also the scaling behavior of the unbiased long linear chains. We study the static property of the small cyclical polymer chains by calculating the mean-squared radius of gyration Rg. Bond uctuation method (BFM) is implemented to study both characteristics of the particular ring polymers