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The celebration of Tyler's life will continue from midday on Monday, at St Mary's Church in Swansea.
She'll then return to her hometown in Neath Port Talbot, travelling through the village at about 13:20 BST before a private family service.
A funeral notice from William Pressdee Funeralcare, on behalf of Tyler's family, said she would be remembered as "a warm, generous artist whose music touched generations and continues to fill dance floors and karaoke booths around the world".
Tyler, born Gaynor Hopkins, grew up in a council house in Neath, and is survived by her husband of more than 50 years, Robert Sullivan.
She was discovered by talent scout Roger Bell in a club in Swansea, and released her first single Lost in France in 1977.
It's a Heartache, her country-pop ballad released the same year, reached number four on the UK singles chart and number three on the US Billboard Hot 100.
Her biggest hit, the rockier Total Eclipse of the Heart, arrived six years later in 1983 - this time topping the charts on both sides of the Atlantic.
In doing so she became the first Welsh person to score a number one hit in the US.
She received a Grammy nomination for the hit, and two further nominations for the album Faster Than the Speed of Night and the single Here She Comes.
