The presence of dark matter (DM) within neutron stars (NSs) can be introduced through different accumulation scenarios, where DM and baryonic matter (BM) interact only through gravitational forces. This study focuses on asymmetric self-interacting bosonic DM, which can reside as a dense core inside the NS or form an extended halo around it. The maximum mass, radius, and tidal deformability of NSs with DM admixture are significantly altered based on the boson mass ($m_{\chi}$), self-coupling constant ($\lambda$), and DM fraction ($F_{\chi}$). The impact of DM on NS properties is investigated using the widely used nuclear matter equation of state (EoS) called DD2. The results show that for $m_{\chi} \gtrsim 200$ MeV and $\lambda \lesssim 2\pi$, DM-admixed NSs with $4\% \lesssim F_{\chi} \lesssim 20\%$ are consistent with the maximum mass and tidal deformability constraints derived from multi-messenger observations. The study also explores the distribution of bosonic DM within NSs and its effects on the tidal deformability, providing insights into the possible existence of DM in NSs and its influence on observable parameters.The presence of dark matter (DM) within neutron stars (NSs) can be introduced through different accumulation scenarios, where DM and baryonic matter (BM) interact only through gravitational forces. This study focuses on asymmetric self-interacting bosonic DM, which can reside as a dense core inside the NS or form an extended halo around it. The maximum mass, radius, and tidal deformability of NSs with DM admixture are significantly altered based on the boson mass ($m_{\chi}$), self-coupling constant ($\lambda$), and DM fraction ($F_{\chi}$). The impact of DM on NS properties is investigated using the widely used nuclear matter equation of state (EoS) called DD2. The results show that for $m_{\chi} \gtrsim 200$ MeV and $\lambda \lesssim 2\pi$, DM-admixed NSs with $4\% \lesssim F_{\chi} \lesssim 20\%$ are consistent with the maximum mass and tidal deformability constraints derived from multi-messenger observations. The study also explores the distribution of bosonic DM within NSs and its effects on the tidal deformability, providing insights into the possible existence of DM in NSs and its influence on observable parameters.