The monoparametric method of iteration aggregation is constructed for the boundary value problem x''(t)+p(t)x'(t)+q(t)x(t)=f(t), x(a)=A, x(b)=B" role="presentation" style="box-sizing: border-box; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 16.94px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">x''(t)+p(t)x'(t)+q(t)x(t)=f(t), x(a)=A, x(b)=B�''(�)+�(�)�'(�)+�(�)�(�)=�(�), �(�)=�, �(�)=� and the conditions of the convergence of this aggregation-iterational algorithm are investigated.