  The main objective of this paper is to establish bootstrap uniform functional
central limit theorem for Harris recurrent Markov chains over uniformly bounded
classes of functions. We show that the result can be generalized also to the
unbounded case. To avoid some complicated mixing conditions, we make use of the
well-known regeneration properties of Markov chains. We show that in the atomic
case the proof of the bootstrap uniform central limit theorem for Markov chains
for functions dominated by a function in $L^{2}$ space proposed by
Radulovi\'{c} (2004) can be significantly simplified. Finally, we prove
bootstrap uniform central limit theorems for Fr\'{e}chet differentiable
functionals in a Markovian setting.
