Innerspring mattresses have a bouncier feel than latex mattresses, which let you sink into the mattress more. Which is better will vary from person to person, but if you're a side or combination sleeper, latex mattresses will normally provide better pressure relief on your hips and shoulders.
Latex mattresses tend to sleep cool, while innerspring mattresses are more likely retain heat and sleep warm (although not as much as memory foam). Latex mattresses are also known for their durability and longevity, although innerspring mattresses can also be durable, depending on the quality and the materials used.
Latex mattresses are naturally resistant to dust mites, mold, and mildew, making them a better option for people with allergies or asthma than innerspring mattresses. They can also be quieter than innerspring mattresses, as they contain no noisy springs. On the downside, they're generally more expensive than innerspring mattresses.