Just use the base plot function with the add=TRUE argument.
require(sp)
# Create polygons
sr=SpatialPolygons(list(
Polygons(list(Polygon(cbind(c(180114,180553,181127,181477,181294,181007,180409,
180162,180114),c(332349, 332057, 332342, 333250, 333558, 333676, 332618, 332413, 332349)))),"1"),
Polygons(list(Polygon(cbind(c(180042,180545,180553,180314,179955,179142,179437,179524,179979,180042),
c(332373,332026,331426,330889,330683,331133,331623,332152,332357,332373)))),"2")))
srdf=SpatialPolygonsDataFrame(sr, data.frame(cbind(1:2,1:2), row.names=c("1","2")))
# Add points (sp meuse dataset)
data(meuse)
coordinates(meuse) = ~x+y
# Create a color vector for the meuse points
color <- rep("xx", nrow(meuse@data))
color[(meuse@data$copper > 0)&(meuse@data$copper <= 31)] <- "black"
color[(meuse@data$copper > 31)] <- "red"
# Plot polygons with points overlaid
plot(srdf, col=c("grey","blue"))
plot(meuse, col=color, pch=19, add=TRUE)
If you really want to use the spplot function you could implements something like this:
# spplot approach
pts=list("sp.points", meuse, pch=19, col=color)
spplot(srdf, "X1", col.regions=c("grey","blue"), colorkey=FALSE,
sp.layout=list(pts))