A massive number of the fifth generation (5G) terminals in the network brings challenges to contention-based random access, especially for machine-type communications (MTC). Based on the extreme traffic model defined by 3rd Generation Partnership Project (3GPP), available solutions, cannot support all the MTC devices access the network successfully. To solve the problem, we firstly analyze the objective of massive access control and propose a concept of distribution reshaping, with which data arrival distribution with highly coordinated manner can actually be changed into random access attempt distribution without a coordinated manner. Both the relevant application layer and radio interface schemes are proposed. Simulation results show that the proposed radio interface algorithm notably outperforms relevant existing approaches under various metrics. Moreover, it can support almost 7 times the number of devices access the network successfully if the average access delay in level of dozens of seconds is allowed. Once the application layer scheme works together with the radio interface scheme, higher throughputs and lower access delays are obtained.