After the discovery of a Standard Model (SM) like Higgs boson, naturalness strongly favors the next to the Minimal Supersymmetric SM (NMSSM). In this letter, we point out that the natural NMSSM usually predicts the following CP-even Higgs Hi sector: (A) H2 is the SM-like Higgs boson with mass pushed-upward by a lighter H1 with mass overwhelmingly within [mH 2 /2, mH 2 ]; (B) mH 3 ≃ 2µ/ sin 2β 300 GeV; (C) H3 has a significant coupling to top quark and can decay to H1H2 with a large branching ratio. Using jet substructure we show that all these three Higgs bosons can be discovered via gg → H3 → H1H2 → bbℓνjj at the 14 TeV LHC. Especially, the LEP-LHC scenario with H1 ≃ 98 GeV has a very good discovery potential.PACS numbers: 12.60. Jv, 14.70.Pw, 95.35.+d Introduction: Supersymmetry provides the most elegant solution to the gauge hierarchy problem in the Standard Model (SM). In the supersymmetric SMs (SSMs) with R-parity, we can not only achieve the gauge coupling unification, but also have a cold dark matter candidate. Recently, the discovery of a SM like Higgs boson at the LHC with mass m h around 126 GeV [1] has deep implications to the SSMs. Although such a relatively heavy Higgs boson mass can be achieved in the Minimal SSM (MSSM), it generically incurs a large fine-tuning (For the possible solutions, see [2].). By contrast, the next-to-the MSSM (NMSSM) with an extra SM singlet Higgs field S is strongly favored by naturalness [3], due to originally its dynamically solution to the Higgs bilinear mass µ problem and now the SM-like Higgs boson mass enhancement via the relatively large Higgs trilinear Yukawa coupling λ in the superpotential and singlet-doublet mixing effect [4][5][6][7]. The natural NMSSM may leave hints at the light stop sector, but the LHC search is rather model dependent [8, 9] and barely has any relations with Higgs sector (Recently, an attempt to search for the light stop utilizing the properties of the SM-like Higgs boson was done in Ref. [10].).In the natural NMSSM, the second lightest CP-even Higgs boson H 2 is identified as the SM like Higgs boson, while the lightest CP-even Higgs boson H 1 is dominated by singlet component. Thus, the H 2 mass can be pushed-upward via the singlet-doublet mixing effect [4][5][6][7]. Such a scenario can also explain the possible di-photon excess from Higgs decays [4,11,12] since the significant mixing effect reduces the decay width of