The Fibonacci sequence has been generalized in many ways. One of them is defined by the relation t_n = at_n-1 + t_n-2 if n is even, and t_n = bt_n-1 + t_n-2 if n is odd, with initial values t₀ = 0 and t₁ = 1, where a and b are positive integers. This sequence is called the bi-periodic Fibonacci sequence. In the present article, we introduce a q-analog of the bi-periodic Fibonacci sequence, and prove several identities involving this sequence. We also give a combinatorial interpretation of this q-analog bi-periodic Fibonacci sequence in terms of weighted colored tilings.