The index gained 1.46 percent to 24,365 points at 1148 GMT on Wednesday, after rising consistently last week, hitting its highest since July 13, 2011, when it closed at 24,410 points.
Shares in Union Bank jumped almost 5 percent to 5.89 naira, on cross dealing of 2.2 billion shares by new investors in the lender, pulling other banks up with it.
The banking sector is up 36.2 percent this year on a recovery in earnings, compared with gains in the overall Nigerian index of 15.83 percent.
Union Bank shares gained 152 percent last year.
Fidelity bank rose 4.41 percent and Guaranty Trust Bank rose 3.07 percent.
Last week, Guaranty Trust Bank became the latest lender to post strong half-year results, reporting a 63 percent rise in pretax profit to 53 billion naira ($334.38 million) and saying that 73 percent of its gross earnings came from interest income.
Other top gainers on Wednesday included industrial stocks Dangote Sugar, Wapco, Flour Mills and Ashaka cement all up almost five percent
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