diff --git a/NEWS.md b/NEWS.md
index 2c404548..343a3a1c 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -2,8 +2,11 @@
 
 * `prop_terms()` is a new parameter object used for recipes that do supervised feature selection (#395). 
 
+* `upper_limit()` and `lower_limit()` now have ranges that are inclusive of the endpoints, unless the endpoint is infinite (#396).
+
 * `batch_size()` now has a specific default parameter range instead of an unknown default range. `get_batch_sizes()` is deprecated (#398).
 
+
 # dials 1.4.1
 
 * Two new parameters, `cal_method_class()` and `cal_method_reg(),` to control which method is used to calibrate model predictions (#383).
diff --git a/R/param_range_limits.R b/R/param_range_limits.R
index 9b759531..b1571c9b 100644
--- a/R/param_range_limits.R
+++ b/R/param_range_limits.R
@@ -13,10 +13,13 @@
 #' @rdname range_limits
 #' @export
 lower_limit <- function(range = c(-Inf, Inf), trans = NULL) {
+  inclusive <- c(TRUE, TRUE)
+  inclusive[is.infinite(range)] <- FALSE
+
   new_quant_param(
     type = "double",
     range = range,
-    inclusive = c(TRUE, FALSE),
+    inclusive = inclusive,
     trans = trans,
     label = c(lower_limit = "Lower Limit"),
     finalize = NULL
@@ -26,10 +29,13 @@ lower_limit <- function(range = c(-Inf, Inf), trans = NULL) {
 #' @rdname range_limits
 #' @export
 upper_limit <- function(range = c(-Inf, Inf), trans = NULL) {
+  inclusive <- c(TRUE, TRUE)
+  inclusive[is.infinite(range)] <- FALSE
+
   new_quant_param(
     type = "double",
     range = range,
-    inclusive = c(FALSE, TRUE),
+    inclusive = inclusive,
     trans = trans,
     label = c(upper_limit = "Upper Limit"),
     finalize = NULL