The fire, on Aston Church Road in Nechells, was reported at about 17:20 GMT on Saturday.
At its height, eight pumps were sent to tackle the fire, and people living nearby were warned to close windows and doors.
West Midlands Fire Service said crews remained at the scene on Sunday. The cause of the fire is not yet known.
A huge blaze engulfed a 700-tonne scrap metal heap at a recycling plant in Birmingham.