The author constructs exact solutions for three-dimensional Euler equations. The solutions are considered in the form \((u_1(x,y,t), u_2(x,y,t), z\gamma(x,y,t))\) with scalar function \(\gamma\) satisfying a nonlocal Riccati equation. It is shown that there exist smooth initial data for which periodic in \(x,y\) solutions have infinite kinetic energy and blow-up at finite time.