  Recent results on the $B$ CP-violation parameter $\sin2\phi_1$, the
$B^0_d$-$\overline{B}^0_d$ mixing parameter $\Delta m_d$ and $B$-meson
lifetimes are reported. The results are based on 10.5 $fb^{-1}$ of data
collected with the Belle detector at KEKB. Using both semileptonic and hadronic
decay modes the neutral and charged $B$-meson lifetimes are measured to be
$\taubz=1.548\pm0.035 (\mathrm{stat.})$~ps and $\taubm=1.656\pm0.038
(\mathrm{stat.})$~ps. The oscillation frequency $\Delta m_d$ for
$B^0_d$-$\overline{B}^0_d$ mixing is measured to be $0.522\pm0.026
(\mathrm{stat.})$~ps$^{-1}$ using semileptonic modes and $0.527\pm0.032
(\mathrm{stat.})$~ps$^{-1}$ using hadronic modes. The above results are
preliminary. The time evolution of $B^0_d$ decays into $J/\psi K^0_S$,
$\psi(2S) K^0_S$, $\chi_{c1} K^0_S$, $\eta_{c} K^0_S$, $J/\psi K^0_L$ and
$J/\psi \pi^0$ modes are studied to obtain $\sin2\phi_1$. Using 282 fully
reconstructed events, $\sin2\phi_1$ is measured to be $$\sin
2\phi_1=0.58^{+0.32}_{-0.34} (\mathrm{stat.})^{+0.09}_{-0.10} (\mathrm{syst.}
).$$
