Using fully kinetic simulations, we study the scaling of the inflow speed of collisionless magnetic reconnection in electron-positron plasmas from the non-relativistic to ultra-relativistic limit. In the anti-parallel configuration, the inflow speed increases with the upstream magnetization parameter σ and approaches the speed of light when σ > O(100), leading to an enhanced reconnection rate. In all regimes, the divergence of the pressure tensor is the dominant term responsible for breaking the frozen-in condition at the x-line. The observed scaling agrees well with a simple model that accounts for the Lorentz contraction of the plasma passing through the diffusion region. The results demonstrate that the aspect ratio of the diffusion region, modified by the compression factor of proper density, remains ∼ 0.1 in both the non-relativistic and relativistic limits.PACS numbers: 52.27. Ny, 52.35.Vd, 98.54.Cm, 98.70.Rz Introduction-Magnetic reconnection is a process that changes the topology of magnetic fields and often leads to an explosive release of magnetic energy in nature. It is thought to play a key role in many energetic phenomena in space, laboratory and astrophysical plasmas [1]. In recent years, relativistic reconnection has attracted increased attention for its potential of dissipating the magnetic energy and producing high-energy cosmic rays and emissions in magnetically dominated astrophysical systems [2], such as pulsar winds [3][4][5], gamma-ray bursts [6-8] and jets from active galactic nuclei [9][10][11]. However, many of the key properties of magnetic reconnection in the relativistic regime remain poorly understood. While early work found the rate of relativistic magnetic reconnection may increase compared to the nonrelativistic case due to the enhanced inflow arising from the Lorentz contraction of plasma passing through the diffusion region [12,13], it was later pointed out that within a steadystate Sweet-Parker model [14,15] the thermal pressure within the current sheet will constrain the outflow to mildly relativistic conditions where the Lorentz contraction is negligible [16], and a relativistic inflow is therefore impossible. Recently, the role of temperature anisotropy [17], inflow plasma pressure [18], two-fluid [18], inertia effects [19] and mass ratio [20] have been considered. All existing theories are generalizations of the steady-state Sweet-Parker or Petschek-type [21] models, which do not account for the mechanism that localizes the diffusion region and determines the reconnection rate in collisionless plasmas. Meanwhile, a range of reconnection rates are reported in computational works with different simulation models and normalization definitions [18,20,[22][23][24][25]. However, the scaling of the rate has yet to be determined and the kinetic physics of the diffusion region is poorly understood in the relativistic limit.