It appears there might be some confusion in your question.
The Suzuki V-Strom, officially known as the Suzuki V-Strom DL650 (and DL1000 for the larger version), is an adventure touring motorcycle line produced by Suzuki. It is designed for both on-road and light off-road riding, offering a balance between comfort, versatility, and performance.
On the other hand, Honda does not have a specific motorcycle model called the "Honda Strom." Honda offers a wide range of motorcycles, including adventure touring models like the Honda Africa Twin and the Honda NC750X, which are designed for similar purposes as the Suzuki V-Strom—long-distance touring, capable handling on various road conditions, and the ability to handle light off-road situations.
In summary, the primary difference between the Honda motorcycles and the Suzuki V-Strom is the manufacturer. Honda offers adventure touring models like the Africa Twin and NC750X, while the Suzuki V-Strom is a popular adventure touring line produced by Suzuki.