Azim Aghajani, who has been held in detention pending the verdict, was in court alongside his alleged Nigerian co-conspirator, Ali Abbas Jega.
Judge Okechukwu Okeke said he needed more time given the complexity of the case, promising a verdict on May 13.
Defence lawyer Chris Uche voiced hope Aghajani would be exonerated.
"We are still very hopeful that at the end of the day we will be victorious," he said outside the court.
The pair were arrested in 2010 after 13 containers of weapons were discovered at the Lagos port of Apapa and have been on trial since February 2011.
The Iranian has denied ties to the Revolutionary Guard, insisting he was a private businessman conducting a legitimate transaction.
The charges attracted wide international attention, in part because it raised questions over whether Iran had violated UN sanctions on weapons sales.
The United Nations added Aghajani to a blacklist last year, labelling him a Revolutionary Guard member tied to "Iranian support for terrorism and extremism worldwide".
Also in 2012, the United States put Aghajani on its national sanctions list.
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