We study a bosonic ladder with two coupled chains using the finite-size density-matrix renormalization group method. We show that in a commensurate bosonic ladder the critical on-site interaction $\left(U_C\right)$ for the superfluid to Mott insulator transition gets larger as the interchain hopping $\left(t_{\perp }\right)$ increases. We analyze this quantum phase transition and obtain the phase diagram in the $t_{\perp }-U$ plane. We also consider the asymmetric case where the on-site interactions are different in the two chains and have shown that the system as a whole will not be in the Mott insulator phase unless both the chains have on-site interactions greater than the critical value.

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