An integral domain R is an almost Bezout domain (respectively, almost valuation domain) if for each pair a, b e R\{0}, there is a positive integer n = n(a,b) such that (aⁿ,bⁿ) is principal (respectively, aⁿ | bⁿ or bⁿ | aⁿ). We show that a finite intersection of almost valuation domains with the same quotient field is an almost Bezout domain. This generalizes the result that a finite intersection of valuation domains with the same quotient field is a Bezout domain. We use our work to give a new characterization of Cohen-Kaplansky domains.