  This report summarises the recent studies of the Bose-Einstein Correlations
(BEC) carried out by the four LEP experiments using hadronic Z$^0$ decay events
and $e^+ e^-$ reactions leading to the WW decay final states. The three
identical charged pion systems $\pi^{\pm} \pi^{\pm} \pi^{\pm}$ have been
studied by OPAL with $4 \times 10^6$ hadronic Z$^0$ decays events. The genuine
three-pion correlations corrected for Coulomb effects, were separated from the
known two-pion correlations by a novel subtraction procedure using the data
events themselves. From this analysis a value of $\mathrm r_3 = 0.580 \pm 0.029
\~fm $ was obtained. The recent L3 study of the two-dimensional two-pion BEC is
also discussed. In this study, which utilised the longitudinal co-moving
system, evidence is given for a non-spherical di-pion emitter shape where the
ratio of the minor to major axes is found to be $0.74 \pm 0.09$. Next we
summarise the experimental aspects of the BEC and colour reconnection phenomena
in W-pair events at LEP and their contribution to the systematic error
associated with the M$_W$ measurements. Finally we describe the first attempts
to evaluate the $\Lambda\Lambda$($\bar{\Lambda}\bar{\Lambda}$) emitter
dimension via the Pauli exclusion principle with a combined result of $ \mathrm
R_{\Lambda\Lambda} = 0.14 ^{+ 0.07}_{-0.03} ~~{\mathrm fm} taup
