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The ATLAS detector at CERN's LHC is preparing to take data from the firstproton-proton collisions expected in the next few months. We report on theanalysis of simulated data samples for production of heavy Quarkonium statesJ/psi and Upsilon, corresponding to an integrated luminosity of 10 pb^-1 withcenter of mass energy of 14 TeV expected at the early ATLAS data. We reviewvarious aspects of prompt Quarkonium production at LHC: the accessible rangesin transverse momentum and pseudorapidity, spin alignment of vector states,separation of color octet and color singlet production mechanism andfeasibility of observing radiative decays Xi_c and Xi_b decays. Strategies ofvarious measurements are outlined and methods of separating promptly producedJ/psi and Upsilon mesons from various backgrounds are discussed.

ATLAS reach for Quarkonium cross section and polarization measurement