LTE is the fourth generation mobile communication dominated by OFDM-MIMO technical features. Signal detection in the terminal of it needs a kind of detection algorithm with lower complexity and better performance to achieve. A lattice reduction aided algorithm is a preprocessing technique that it enables the columns of channels matrix to be approximately orthogonal. It can eliminate the interference among these Sub-channels and reduce the effect of the enhancement of noise. On the basis of ELLL, a weaker reduction criterion, called diagonal reduction with potentially lower computational cost than the ELLL, is proposed, and we further put forward a new lattice reduction aided detection algorithm which associated K-best with V-BLAST on the basis of DR. As depicted in our simulation, the performance of the algorithm which is proposed is close to that of ML with a lower computational complexity.