A process for producing a polyester using a catalyst, which catalyst enables producing a polyester excellent in color tone and transparency at a high reaction velocity; the catalyst; and a method for producing the catalyst, which catalyst comprises: (1) at least one metal element selected from the group consisting of metal elements of Group 4A of the Periodic Table, (2) at least one metal element selected from the group consisting of metal elements of Group 2A of the Periodic Table, aluminum, manganese, iron, cobalt, zinc, gallium and germanium, (a) when the total amount of metal atoms derived from metal element (1) is represented by t (mol/catalyst kg), and the total amount of metal atoms derived from metal element (2) is represented by m (mol/catalyst kg), the value of m/t is within 0.50≦m/t≦3.50.