She called for “repressive laws” to be revoked, and constitutional reform and the “democratic rights of the people” to be better protected.
She also called for a freer media and a stronger judiciary.
Ms Suu Kyi’s landmark message was the first time she was allowed to use state media to promote her political message.
In her speech, leaked a day in advance for those with internet access, she emphasised the need for democratic reforms and media freedom.
She was able to make the address under a government provision that allows parties contesting by-elections on 1 April to be given 15-minute slots on television and radio – a significant new departure in Burma.
The Nobel Peace laureate, who has spent much of the last 20 years in some form of detention because of her efforts to bring democracy to Burma, is standing for parliament in the rural township of Kawhmu, south-west of Rangoon.
In her address, Ms Suu Kyi outlined the broad themes at the heart of her campaign.
She is seen sitting behind a desk, with the red flag of her National League for Democracy (NLD) party behind her.
“All repressive laws must be revoked,” she said, “and laws introduced to protect the rights of the people.
“The judiciary must be strengthened and released from political interference.”
The broadcast lasts just under 14 minutes, a little shorter than the quarter of an hour slot she and other parties contesting forthcoming by-elections have been allocated.
But that is probably explained by the chunk of script removed by the censors.