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B-physics is an important part of studies with the LHC beams at low luminosities. Effective B-meson reconstruction with exclusive semileptonic modes in the ATLAS can produce a clean sample of events for detail physics analysis with first data. Muon identification with Muon spectrometer is an important instrument for background suppression. The analysis includes measurements of B-meson mass and proper lifetime with B+→J/ΨK+ to verify performance of the Inner detector and to estimate background and trigger efficiencies for similar rare decays. The b-quark fragmentation with low pt , bbbar correlations and pt compensation will be studied in events with B-mesons. The underlying event multiplicity in such events will be measured and compared with data from leading jet analysis.