  We describe in detail two-parameter nonstandard quantum deformation of D=4
Lorentz algebra $\mathfrak{o}(3,1)$, linked with Jordanian deformation of
$\mathfrak{sl} (2;\mathbb{C})$. Using twist quantization technique we obtain
the explicit formulae for the deformed coproducts and antipodes. Further
extending the considered deformation to the D=4 Poincar\'{e} algebra we obtain
a new Hopf-algebraic deformation of four-dimensional relativistic symmetries
with dimensionless deformation parameter. Finally, we interpret
$\mathfrak{o}(3,1)$ as the D=3 de-Sitter algebra and calculate the contraction
limit $R\to\infty$ ($R$ -- de-Sitter radius) providing explicit Hopf algebra
structure for the quantum deformation of the D=3 Poincar\'{e} algebra (with
masslike deformation parameters), which is the two-parameter light-cone
$\kappa$-deformation of the D=3 Poincar\'{e} symmetry.
