A few years after its discovery as a magnetar, SGR 1935+2154 started a new burst-active phase on 2020 April 27, accompanied by a large enhancement of its X-ray persistent emission. Radio single bursts were detected during this activation, strengthening the connection between magnetars and fast radio bursts. We report on the X-ray monitoring of SGR 1935+2154 from ∼3 days prior to ∼3 weeks after its reactivation, using Swift, NuSTAR, and NICER. We detected X-ray pulsations in the NICER and NuSTAR observations, and constrained the spin period derivative to | Ṗ | < 6×10 −11 s s −1 (3σ c.l.). The pulse profile showed a variable shape switching between single and double-peaked as a function of time and energy. The pulsed fraction decreased from ∼ 34% to ∼11% (5-10 keV) over ∼10 days. The X-ray spectrum was well fit by an absorbed blackbody model with temperature decreasing from kT BB ∼ 1.6 to 0.6-0.7 keV, plus a non-thermal component (Γ ∼ 1.2) observed up to ∼25 keV with NuSTAR. The 0.3-10 keV X-ray luminosity increased in less than four days from ∼ 4 × 10 33 erg s −1 to about 2.5×10 35 erg s −1 and then decreased again to 1.4×10 34 erg s −1 over the following three weeks of the outburst. We also detected several X-ray bursts, with properties typical of short magnetar bursts.