analyzed. The events selected after using the Dynamic Supercuts procedure yield an excess of 169$\pm$32 $\gamma$-ray like events with a statistical significance of 5.47$\sigma$. The corresponding $\gamma$–ray rate turns out to be (14.91$\pm$2.82)h$^{-1}$. Since the average zenith of 28$^{\circ}$ for 11.33 h data on the Crab Nebula is close to the average zenith of 21$^{\circ}$ for 39.62 h data on 1ES1218+304, one can express the $\gamma$–ray rate observed from 1ES1218+304 in Crab Unit (CU:1 CU$\equiv$14.91$\pm$2.82 h$^{-1}$). Figure 1(b) gives the $\alpha$–distribution for the data collected on 1ES 1218+304 for 39.62 h. The analysis of the data yields an excess of 2 $\pm$ 56 $\gamma$–ray events with a statistical significance of 0.04$\sigma$, which suggests that there is no evidence for a $\gamma$–ray signal from the source during the period of our observations. The source is thus possibly in a low state which is below the sensitivity level of the $TACTIC$. The upper limit estimation on the integral VHE $\gamma$–ray flux from the source is described below.

Upper Limit Calculation for TACTIC
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Using the probability density function of the number of excess events we have determined the upper limit on the excess events (N$_{UL}$) by using the methodology proposed by Helene 