Spike glycoprotein found on the surface of SARS-CoV-2 (SARS-CoV-2S) is a class I fusion protein which helps the virus in its initial attachment with human Angiotensin converting enzyme 2 (ACE2) receptor and its consecutive fusion with the host cells. The attachment is mediated by the S1 subunit of the protein via its receptor binding domain. Upon binding with the receptor the protein changes its conformation from a pre-fusion to a post-fusion form. The membrane fusion and internalization of the virus is brought about by the S2 domain of the spike protein. From ancient times people have relied on naturally occurring substances like phytochemicals to fight against diseases and infection. Among these phytochemicals, flavonoids and non-flavonoids have been found to be the active source of different anti-microbial agents. Recently, studies have shown that these phytochemicals have essential anti-viral activities. We performed a molecular docking study using 10 potential naturally occurring flavonoids/non-flavonoids against the SARS-CoV-2 spike protein and compared their affinity with the FDA approved drug hydroxychloroquine (HCQ). Interestingly, the docking analysis suggested that C-terminal of S1 domain and S2 domain of the spike protein are important for binding with these compounds. Kamferol, curcumin, pterostilbene, and HCQ interact with the C-terminal of S1 domain with binding energies of -7.4, -7.1, -6.7 and -5.6 Kcal/mol, respectively. Fisetin, quercetin, isorhamnetin, genistein, luteolin, resveratrol and apigenin on the other hand, interact with the S2 domain of spike protein with the binding energies of -8.5, -8.5, -8.3, -8.2, -8.2, -7.9, -7.7 Kcal/mol, respectively. Our study suggested that, these flavonoid and non-flavonoid moieties have significantly high binding affinity for the two main important domains of the spike protein which is responsible for the attachment and internalization of the virus in the host cell and their binding affinities are much higher compared to that of HCQ. In addition, ADME (absorption, distribution, metabolism and excretion) analysis also suggested that these compounds consist of drug likeness property which may help for further explore as anti-SARS-CoV-2 agents. Further, in vitro and in vivo study of these compounds will provide a clear path for the development of novel compounds that would most likely prevent the receptor binding or internalization of the SARS-CoV-2 spike protein and therefore could be used as drugs for COVID-19 therapy.