diff --git a/DESCRIPTION b/DESCRIPTION
index 649fa7d9..a8add0ad 100644
--- a/DESCRIPTION
+++ b/DESCRIPTION
@@ -85,7 +85,7 @@ Collate:
     'geom-tile3d.R'
     'ggalign-package.R'
     'ggplot-.R'
-    'ggplot-coord.R'
+    'ggplot-discrete.R'
     'ggplot-theme.R'
     'import-standalone-assert.R'
     'import-standalone-obj-type.R'
diff --git a/NAMESPACE b/NAMESPACE
index 199d28de..62e0b808 100644
--- a/NAMESPACE
+++ b/NAMESPACE
@@ -122,7 +122,7 @@ S3method(ggoncoplot,"NULL")
 S3method(ggoncoplot,default)
 S3method(ggoncoplot,formula)
 S3method(ggoncoplot,functon)
-S3method(ggplot_add,coord_ggalign)
+S3method(ggplot_add,discrete_ggalign)
 S3method(ggplot_add,ggalign_default_expansion)
 S3method(ggplot_add,ggalign_layer_order)
 S3method(ggplot_add,ggalign_with_quad)
diff --git a/R/align-.R b/R/align-.R
index a3596ac7..e4edd2e5 100644
--- a/R/align-.R
+++ b/R/align-.R
@@ -330,8 +330,8 @@ Align <- ggproto("Align", AlignProto,
         # set limits and default scales
         plot + switch_direction(
             direction,
-            coord_ggalign(y = coords),
-            coord_ggalign(x = coords)
+            discrete_ggalign(y = coords),
+            discrete_ggalign(x = coords)
         )
     },
 
diff --git a/R/cross-gg.R b/R/cross-gg.R
index 56c697c5..e3172c50 100644
--- a/R/cross-gg.R
+++ b/R/cross-gg.R
@@ -121,10 +121,10 @@ CrossGg <- ggproto("CrossGg", Cross,
         }
         plot$data <- data
         if (is_horizontal(direction)) {
-            default_coord <- coord_ggalign(y = coords)
+            default_coord <- discrete_ggalign(y = coords)
             default_expand <- default_expansion(x = expansion())
         } else {
-            default_coord <- coord_ggalign(x = coords)
+            default_coord <- discrete_ggalign(x = coords)
             default_expand <- default_expansion(y = expansion())
         }
         plot +
diff --git a/R/ggplot-coord.R b/R/ggplot-discrete.R
similarity index 91%
rename from R/ggplot-coord.R
rename to R/ggplot-discrete.R
index 62b43e8c..9c5cad16 100644
--- a/R/ggplot-coord.R
+++ b/R/ggplot-discrete.R
@@ -44,8 +44,8 @@
 #'  - limits: A boolean value indicates whether should set limits.
 #' @keywords internal
 #' @noRd
-coord_ggalign <- function(x = NULL, y = NULL) {
-    structure(list(x = x, y = y), class = "coord_ggalign")
+discrete_ggalign <- function(x = NULL, y = NULL) {
+    structure(list(x = x, y = y), class = "discrete_ggalign")
 }
 
 setup_limits <- function(axis, params) {
@@ -80,7 +80,7 @@ is_coord_okay.default <- function(x, axes) FALSE
 
 #' @importFrom ggplot2 ggplot_add ggproto ggproto_parent
 #' @export
-ggplot_add.coord_ggalign <- function(object, plot, object_name) {
+ggplot_add.discrete_ggalign <- function(object, plot, object_name) {
     x_params <- .subset2(object, "x")
     y_params <- .subset2(object, "y")
 
@@ -128,8 +128,12 @@ ggplot_add.coord_ggalign <- function(object, plot, object_name) {
         # take the tricks to modify scales in place
         modify_scales = function(self, scales_x, scales_y) {
             # for each scale, we set the `breaks` and `labels`
-            if (!is.null(x_params)) align_scales("x", x_params, scales_x)
-            if (!is.null(y_params)) align_scales("y", y_params, scales_y)
+            if (!is.null(x_params)) {
+                align_discrete_scales("x", x_params, scales_x)
+            }
+            if (!is.null(y_params)) {
+                align_discrete_scales("y", y_params, scales_y)
+            }
             ggproto_parent(ParentCoord, self)$modify_scales(scales_x, scales_y)
         },
         setup_panel_params = function(self, scale_x, scale_y, params = list()) {
@@ -163,7 +167,7 @@ ggplot_add.coord_ggalign <- function(object, plot, object_name) {
     plot
 }
 
-align_scales <- function(axis, params, scales) {
+align_discrete_scales <- function(axis, params, scales) {
     panel <- .subset2(params, "panel")
     index <- .subset2(params, "index")
     labels <- .subset2(params, "labels")
@@ -195,18 +199,27 @@ align_scales <- function(axis, params, scales) {
             dindex <- .subset2(data_index, i)
             pindex <- .subset2(plot_index, i)
             labels <- .subset2(data_labels, i)
-            scale$breaks <- get_breaks(scale, pindex, dindex, labels)
-            scale$labels <- get_labels(
+            scale$breaks <- get_discrete_breaks(scale, pindex, dindex, labels)
+            scale$labels <- get_discrete_labels(
                 scale, scale$breaks, pindex, dindex, labels
             )
         }
         # by default we elways remove any expansion
         scale$expand <- scale$expand %|w|% default_expand
+
+        # for continuous scale, we don't allow the trans
+        if (!scale$is_discrete() && !identical(scale$trans$name, "identity")) {
+            cli::cli_warn(sprintf(
+                "{.arg trans} must be {.field identity} in {.code %s}",
+                deparse(scale$call)
+            ))
+            scale$trans <- scales::as.transform("identity")
+        }
     }
 }
 
 #' @importFrom rlang is_empty
-get_breaks <- function(scale, pindex, dindex, labels) {
+get_discrete_breaks <- function(scale, pindex, dindex, labels) {
     if (scale$is_empty()) return(numeric()) # styler: off
     breaks <- scale$breaks
     if (identical(breaks, NA)) {
@@ -277,7 +290,7 @@ get_breaks <- function(scale, pindex, dindex, labels) {
 }
 
 #' @importFrom rlang is_empty
-get_labels <- function(scale, breaks, pindex, dindex, labels) {
+get_discrete_labels <- function(scale, breaks, pindex, dindex, labels) {
     scale_labels <- scale$labels
     if (is_empty(breaks) || is.null(scale_labels)) { # if no breaks, no labels
         return(NULL)
diff --git a/R/layout-quad-build.R b/R/layout-quad-build.R
index ddd5c5c5..5fb9544d 100644
--- a/R/layout-quad-build.R
+++ b/R/layout-quad-build.R
@@ -186,7 +186,7 @@ quad_build.QuadLayout <- function(quad, schemes = NULL, theme = NULL,
     # we don't align observations for `quad_free()`
     if (!is.null(row_coords) || !is.null(column_coords)) {
         p <- p + align_melt_facet(default_facet, p$facet, strict = TRUE) +
-            coord_ggalign(x = column_coords, y = row_coords)
+            discrete_ggalign(x = column_coords, y = row_coords)
     }
     p <- p + theme_recycle()