The formation of primordial black holes is studied using superconformal inflationary α-attractors. An inflaton potential is constructed with a plateau-like region which brings about the onset of an ultra slow-roll region where the required enhancement in the curvature power spectrum takes place. This is accomplished by carefully finetuning the parameters in the potential. For the parameter sets, the amount of observable inflation is such that the curvature perturbation P R peaks at ∼ 10 14 Mpc −1 , producing PBHs in the mass window 10 16 g ≤ M ≤ 10 18 g. The reheating period after inflation is taken into account to determine whether or not PBH formation takes place in such a phase. Finally, the spectrum of second order gravitational waves, that can arise due to the curvature perturbation enhancement, is calculated.