The company capitalised on value-added products, which, it claims, accounted for 66% of total shipments compared with 65% last year.
CEO Tim Murray attributed the company's success to a focused marketing strategy and enhanced productivity.
Alba will release its Q2 2013 results on 29 July.
In total, Alba produces 890kt of aluminium, 50% of which is supplied to Bahrain's downstream industries. The remaining 50% is exported to the Middle East, Europe, North America, the Far East and South East Asia.