In a medium saucepan, combine cranberries and orange juice. Heat over medium-high, stirring occasionally, until the mixture boils. Reduce heat to medium-low and simmer for 10 minutes, allowing the cranberries to pop and bubble.
Remove from heat and let stand for 5 minutes. Using an immersion blender, carefully blend the cranberries until smooth.
Pour the mixture into a medium-mesh sieve placed over a bowl. Use the back of a spoon to press the cranberries through the sieve, discarding the solids left behind.
Transfer the strained cranberry mixture back into the saucepan. Add white granulated sugar and heat over medium-high, stirring frequently until the sugar dissolves and the mixture reaches 215°F by thermometer.
Carefully pour the mixture into jelly jars, leaving 1/4-inch headspace. Tap jars gently to remove air bubbles. Let cool to room temperature, then cover and refrigerate overnight.
To serve, run a knife along the edge of the jar to loosen the cranberry jelly. Slide it out onto a plate and slice into 1/4-inch rounds.