Officers said they were called to the incident in Clarendon Road at around 9.40am on Friday, July 22.
A Sussex Police spokesperson said: “The road was closed while officers entered a property and conducted a search.
“A 28-year-old man from Worthing and a 41-year-old man from Brighton were arrested on suspicion of possession of a firearm without a certificate.
“They both remain in custody at this stage.”
Police said this is believed to be an isolated incident that does not pose a wider risk to the community.
1. Police in Clarendon Road, Hove. Picture from Eddie Mitchell
Police in Clarendon Road, Hove. Picture from Eddie Mitchell Photo: Eddie Mitchell
2. Police in Clarendon Road, Hove. Picture from Eddie Mitchell
Police in Clarendon Road, Hove. Picture from Eddie Mitchell Photo: eddie mitchell
3. Police in Clarendon Road, Hove. Picture from Eddie Mitchell
Police in Clarendon Road, Hove. Picture from Eddie Mitchell Photo: eddie mitchell
4. Police in Clarendon Road, Hove. Picture from Eddie Mitchell
Police in Clarendon Road, Hove. Picture from Eddie Mitchell Photo: eddie mitchell