A method of manufacturing a high tensile steel sheet superior in a formability, comprising: obtaining a hot-rolled steel strip by performing hot rolling; next, performing acid pickling of the hot-rolled steel strip; next, obtaining a cold-rolled steel strip by performing cold rolling of the hot-rolled steel strip with a tandem rolling mill having a plurality of stands; next, performing continuous annealing of the cold-rolled steel strip in a continuous annealing line; and next, performing temper rolling of the cold-rolled steel strip, wherein the steel strip contains, in mass %: C: 0.03% to 0.20%; Si: 0.005% to 1.0%; Mn: 1.0% to 3.1%; and Al: 0.005% to 1.2%, a P content being over 0% and equal to or less than 0.06%, an S content being over 0% and equal to or less than 0.01%, an N content being over 0% and equal to or less than 0.01%, and optionally at least one selected from a group consisting of, in mass %, B: 0.00005% to 0.005%, Mo: 0.01% to 0.5%, Cr: 0.01% to 1.0%, V: 0.01% to 0.1%, Ti: 0.01% to 0.1%, Nb: 0.005% to 0.05%, Ca: 0.0005% to 0.005%, and REM: 0.0005% to 0.005%, and a balance being composed Fe and an inevitable impurity, a relation of the formula being established between the Al content and the Si content: 0.3 ≤ 0.7 × Si + Al ≤ 1.5 ([Al] indicates the A1 content (%) and [Si] indicates the Si content (%)) and a relation of a formula being established about a cold-rolling reduction in the first stand among the plurality of stands and a temperature increasing rate in a first heating zone in the continuous annealing line. 50 ≤ r 1 0.85 × V ≤ 300 (r1 indicates the cold-rolling reduction (%), and V indicates the temperature increasing rate (°C/s). obtaining a hot-rolled steel strip by performing hot rolling; next, performing acid pickling of the hot-rolled steel strip; next, obtaining a cold-rolled steel strip by performing cold rolling of the hot-rolled steel strip with a tandem rolling mill having a plurality of stands; next, performing continuous annealing of the cold-rolled steel strip in a continuous annealing line; and next, performing temper rolling of the cold-rolled steel strip, wherein the steel strip contains, in mass %: C: 0.03% to 0.20%; Si: 0.005% to 1.0%; Mn: 1.0% to 3.1%; and Al: 0.005% to 1.2%, C: 0.03% to 0.20%; Si: 0.005% to 1.0%; Mn: 1.0% to 3.1%; and Al: 0.005% to 1.2%, a P content being over 0% and equal to or less than 0.06%, an S content being over 0% and equal to or less than 0.01%, an N content being over 0% and equal to or less than 0.01%, and optionally at least one selected from a group consisting of, in mass %, B: 0.00005% to 0.005%, Mo: 0.01% to 0.5%, Cr: 0.01% to 1.0%, V: 0.01% to 0.1%, Ti: 0.01% to 0.1%, Nb: 0.005% to 0.05%, Ca: 0.0005% to 0.005%, and B: 0.00005% to 0.005%, Mo: 0.01% to 0.5%, Cr: 0.01% to 1.0%, V: 0.01% to 0.1%, Ti: 0.01% to 0.1%, Nb: 0.005% to 0.05%, Ca: 0.0005% to 0.005%, and REM: 0.0005% to 0.005%, and a balance being composed Fe and an inevitable impurity, a relation of the formula being established between the Al content and the Si content: 0.3 ≤ 0.7 × Si + Al ≤ 1.5 ([Al] indicates the A1 content (%) and [Si] indicates the Si content (%)) and a relation of a formula being established about a cold-rolling reduction in the first stand among the plurality of stands and a temperature increasing rate in a first heating zone in the continuous annealing line. 50 ≤ r 1 0.85 × V ≤ 300 (r1 indicates the cold-rolling reduction (%), and V indicates the temperature increasing rate (°C/s). ([Al] indicates the A1 content (%) and [Si] indicates the Si content (%)) and a relation of a formula being established about a cold-rolling reduction in the first stand among the plurality of stands and a temperature increasing rate in a first heating zone in the continuous annealing line. 50 ≤ r 1 0.85 × V ≤ 300 (r1 indicates the cold-rolling reduction (%), and V indicates the temperature increasing rate (°C/s).