The invention relates to the technical field of oil well acidification, and in particular relates to an acidization method for an oil well with a pump. The acidization method comprises the following steps of step 1, when an oil well stratum is blocked or needs acidification, injecting first wax dissolution blockage relieving fluid into the stratum; step 2, injecting acid liquor into the stratum and reacting for 30-60 minutes; step 3, injecting second wax dissolution blockage relieving fluid into the stratum after reaction is finished; and step 4, injecting displacement fluid into the stratum. Compared with an existing acidification process, the acidization method is relatively good in acidification effect and relatively low in cost; furthermore, a well-repair pump lifting operation before acidification and a well-repair re-pumping task after acidification are not needed, and acidification operation can be performed on the basis of an original oil well production string under a condition of normal production of the oil well; after acidification, the oil well is directly put into production, the problems of long occupied time due to well-repair, high acidification cost and incapability of dissolving and discharging pollutants wrapped with wax crystals in the stratum in time due to well repair during pump-lifting acidification of the existing pump lifting acidification process are solved, and secondary pollution and stratum pollution are effectively avoided.