For the communication constraints (i.e., network-induced delay and packet loss) of the forward channel, the feedback channel and the channel between agents of second-order networked multi-agent systems, a novel solution is proposed, which is based on the networked predictive control method and the time-delay system method. First, with the delayed informations in terms of position and velocity, the predicted position and velocity of the current moment is obtained by iterative prediction. Consider the time delay between agents, a time-varying formation control protocol based on the delayed informations of neighbours is designed. Furthermore, a closed-loop system including the delay of the forward channel and the delay between the agent is derived, and the sufficient conditions for the stability of the closed-loop system are given by Lyapunov method. Finally, the contrastive simulation results verify the feasibility of the proposed method as well as the advantages of networked predictive control in compensating communication constraints.