  We implement a one-loop analysis of the $\rho$ parameter in the Left Right
Twin Higgs model, including the logarithmically enhanced contributions from
both heavy fermion and scalar loops. Numerical analysis indicates that the
one-loop corrections are dominant over the tree-level contributions in most
regions of parameter space. The experimentally allowed values of the
$\rho$-parameter divide the allowed parameter space into two regions; less than
$670 {\rm GeV}$ and larger than $1100 {\rm GeV}$ roughly, for the symmetry
breaking scale $f$. Therefore our result significantly reduces the parameter
space which are favorably accessible to the LHC.
