Mauricio Pochettino’s side had laboured a little until Marco Verratti fired in off the post moments before half-time – his first league goal since 2017.
Ramos forced a save, then converted the rebound after the break, and a Wout Faes’ own goal made the win certainly.
Danilo side-footed a fourth via a deflection, and PSG now sits 11 points clear at the top of the Ligue 1 table.
The win owed much to Verratti’s accurate opener as Reims had been competitive for more than 40 minutes.
Bradley Locko had forced a save from home keeper Keylor Navas and reported Newcastle target Hugo Ekitike was lively up front, firing over after cutting in from the left flank.
But Verratti’s finish meant PSG could play with poise and patience after the break, and Ramos added a second, turning in from a yard after his initial effort was spilled.
The former Real Madrid captain broke his PSG duck in just his fourth appearance, and Reims duly capitulated.
Lionel Messi was brought on from the bench and teed up Verratti for what looked to be the Italian’s second, only for a deflection on its way to the net to be enough to see the goal credited to the unfortunate Faes.
Kylian Mbappe raced away from his marker down the left flank to deliver a fine assist for Danilo to claim his second goal of the season.
Despite being pushed early on, PSG is now 13 games unbeaten in Ligue 1 and the gulf in class – underlines just how difficult it will be for the chasing pack to get anywhere near them.