  We propose a U(1)^\prime mediated supersymmetry (SUSY) breaking, in which
U(1)^\prime is identified with U(1)_{B_1+B_2-2L_1}. The U(1)_{B_1+B_2-2L_1}
gauge symmetry, which is anomaly-free with the field contents of the minimal
supersymmetric standard model, assigns \pm 1/3 charges to the first and second
generations of the quarks, and \mp 2 to the first generation of the leptons. As
a result, the first two generations of squarks acquire masses of about 7 TeV,
and the first generation of the sleptons do those of 40 TeV, respectively, in
the presence of one or three pairs of extra vector-like matter {{\bf
5},\bar{\bf 5}}. Non-observation on extra colored particles below 1 TeV at the
large hadron collider, and also the flavor violations such as \mu^-\rightarrow
e^-\gamma are explained. By virtue of such a gauge symmetry, proton stability
can be protected. The other squarks and sleptons as well as the gauginos can
obtain masses of order 10^{2-3} GeV through the conventional gravity or gauge
mediated SUSY breaking mechanism. The relatively light smuon/sneutrino and the
neutralino/chargino could be responsible for the (g-2)_\mu deviated from the
standard model prediction. The stop mass of \sim 500 GeV relieves the
fine-tuning problem in the Higgs sector. Two-loop effects by the relatively
heavy sfermions can protect the smallness of the stop mass from the radiative
correction by the heavy gluino (\gtrsim 1 TeV). Extra vector-like matter can
enhance the radiative corrections to the Higgs mass up to 126 GeV, and induce
the desired mixing among the chiral fermions after U(1)_{B_1+B_2-2L_1}
breaking.
