Let { $X_{n}$ , n $geq$ 1} be a sequence of independent and identically distributed random variables with a common continuous distribution function F(x) and probability density function f(x). Let $Y_{n}$ = max{ $X_1$, $X_2$, …, $X_{n}$ } for n $geq$ 1. We say $X_{j}$ is an upper record value of { $X_{n}$ , n$geq$1} if $Y_{j}$ > $Y_{j-1}$, j > 1. The indices at which the upper record values occur are given by the record times {u(n)}, n$geq$1, where u(n) = min{j｜j>u(n-1), $X_{j}$ > $X_{u}$ (n-1), n$geq$2} and u(1) = 1. We call the random variable X $in$ Beta (1, c) if the corresponding probability cumulative function F(x) of x is of the form F(x) = 1-(1-x)$^{c}$ , c>0, 0$leq$x$leq$1. In this paper, we will give a characterization of the beta distribution of the first kind by considering conditional expectations of record values.s.