Apache Spark and Apache Storm are both open-source frameworks for processing large datasets. Spark is better suited for batch processing due to its in-memory computing approach, while Storm excels at real-time stream processing with very low latencies. When deciding between the two, the use case and data processing needs should be considered, as Spark and Storm each have distinct strengths - Spark for batch jobs and Storm for real-time streams. Programming languages supported also differ between the two platforms.