Hysteresis in the field effect of bilayer graphene is observed at a low temperature. We attribute this effect to charge traps in the substrate. When the sweep rate of the back-gate voltage is increased to higher values, the hysteresis becomes more pronounced. By measuring the hysteresis in the field effect, the lifetime of the charge traps is estimated as 16.9 min. It is shown that the influence of charge traps on graphene is strongly affected by a magnetic field. Above 5 T the hysteresis remains constant.Since the discovery of free-standing atomically thin graphite-the so-called graphene-such monolayers of carbon have been intensively studied [1]-[3]. This system is especially interesting because graphene exhibits a field effect, i.e. by applying a gate voltage it is possible to change the majority charge carriers from holes to electrons [1]. In some samples, hysteresis effects were observed by measuring the field effect of graphene at room temperature [4]. The observed shift in the charge neutrality point depends on the sweep direction of the back-gate voltage and is attributed to dipolar adsorbates, e.g. water that act as charge traps [5]. To suppress such hysteresis under ambient conditions the substrate can be coated with a thin layer of a hydrophobic substance [6]. Using microsoldered graphene, it was shown that polymethylmethacrylate (PMMA) has a doping effect on graphene but does not change the voltage-induced hysteresis [7]. At low temperatures, Yoo et al [8] observed a hysteresis effect in graphene nanorings, which they attribute to available trap states in the rough edges of the graphene nanoring structure. Furthermore, hysteresis effects were observed on some systems similar to graphene, e.g. carbon nanotubes. Lee et al [9] argue that their observed hysteresis in carbon nanotubes at T = 56 K is due to silanol groups (SiOH) at the surface of the substrate.