Palace have now lost just one of their last five Premier League games, and picked up their first away point of the season at the Amex Stadium in a drab 0-0 draw.
The Eagles’ attack spearheaded by Christian Benteke struggled to break down a disciplined Seagulls’ defence on the south coast.
But the Palace backline, so often a soft underbelly for opponents, held their rivals at bay with some ease, with only a late header from Glenn Murray that was cleared off the line by Andros Townsend threatening to break the deadlock in the hosts favour.
With a relatively favourable run of fixtures ahead of them – Palace don’t face a side in the top six for a month – Hodgson was pleased to avoid a dispiriting defeat that would have ended the optimism built by Saturday’s last-gasp win over Stoke.
“This was a derby game and one we could not lose,” Hodgson said. “It keeps our momentum going.