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Potato (Solatium tuberosum) generally requires high amounts of phosphate fertilizer to reach economically acceptable yields, particularly in soils originating from volcanic ash. This is a consequence of the potato plants low root density and the slow soil diffusion rate of phosphorus (P) in these soils. Our objective was to evaluate the effect of P rates on tuber yield, biomass production, and distribution, biomass P accumulation and concentration, and P distribution in potato cv. Mexiquense. The experiment was carried out in an Andisol (7.8 μg g-1 Olsen-P) located at the east of Valle de Mexico. Fertilization rates were 0, 18,41,46,69,78,90,106,113,135,150,163, and 207 kg ha-1 P, from ordinary superphosphate. Top growth and root biomass, tuber yield, P percentage and P accumulation in different plant parts were measured at harvest. Minimum and maximum average tuber yields were 8.4 and 18.0 Mg ha-1; the plants absorbed 5.8 and 11.8 kg ha-1 P, corresponding to 0 (control) and 207 kg ha-1 P, respectively. Phosphorus fertilization had little influence on plant P concentration, where average concentrations in tuber and top growth were 0.20 and 0.24 % P, respectively. By contrast, P accumulation increased with increasing P rates, but P distribution between tuber and top growth was dependent on the amount of P applied. The control treatment showed approximately 1:1 distribution of P between top growth and tuber, but as P rate increased, top growth P decreased and tuber P increased. When applying the highest P rate, 36% of P accumulated in the top growth and 64 % in the tuber. The information obtained will permit decisions on the correct use of phosphate fertilizer for potato in Andisols of the Valle de Mexico.