  We revisit the electroweak phase transition and the critical bubble in the
scale invariant two Higgs doublet model in the light of recent LHC data.
Moreover, the sphaleron decoupling condition is newly evaluated in this model.
The analysis is done by using the resumed finite-temperature one-loop effective
potential. It is found that the 125 GeV Higgs boson inevitably leads to the
strong first-order electroweak phase transition, and the strength of which is
always large enough to satisfy the sphaleron decoupling condition, $v_N/T_N >
1.2$, where $T_N$ denotes a nucleation temperature and $v_N$ is the Higgs
vacuum expectation value at $T_N$. In this model, even if the Higgs boson
couplings to gauge bosons and fermions are similar to the standard model
values, the signal strength of the Higgs decay to two photons is reduced by 10%
and the triple Higgs boson coupling is enhanced by 82% compared to the standard
model prediction.

High Energy Physics - Phenomenology