diff --git a/CHANGELOG.md b/CHANGELOG.md
index f04135b2..556c0196 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -3,6 +3,7 @@
 ## Unreleased
 
 ### Added
+- `assert_within_delta <expected> <actual> <delta>` asserts a number is within a tolerance of another; supports floats (#744)
 - `assert_array_length <n> <array>` asserts an array has exactly `n` elements (#743)
 - `assert_file_permissions <mode> <file>` asserts a file's octal permission mode (`644`, `0755`); portable across GNU/BSD `stat` (#742)
 
diff --git a/docs/assertions.md b/docs/assertions.md
index 81212065..592d0358 100644
--- a/docs/assertions.md
+++ b/docs/assertions.md
@@ -361,6 +361,25 @@ function test_failure() {
 ```
 :::
 
+## assert_within_delta
+> `assert_within_delta "expected" "actual" "delta"`
+
+Reports an error if `actual` is not within `delta` of `expected`
+(i.e. `|actual - expected| > delta`). Supports floating-point values.
+Useful for timing or measured values where exact equality is too strict.
+
+::: code-group
+```bash [Example]
+function test_success() {
+  assert_within_delta "3.14159" "3.14" "0.01"
+}
+
+function test_failure() {
+  assert_within_delta "100" "105" "3"
+}
+```
+:::
+
 ## assert_date_equals
 > `assert_date_equals "expected" "actual"`
 
diff --git a/src/assert.sh b/src/assert.sh
index 1a23a02a..1126e6d3 100755
--- a/src/assert.sh
+++ b/src/assert.sh
@@ -792,6 +792,61 @@ function assert_greater_or_equal_than() {
   bashunit::state::add_assertions_passed
 }
 
+##
+# Whether a value looks like a number (integer or decimal, optional sign).
+# Returns: 0 when numeric, 1 otherwise.
+##
+function bashunit::assert::_is_numeric() {
+  local value="$1"
+  case "$value" in
+  '' | *[!0-9.+-]*) return 1 ;;
+  esac
+  # Must contain at least one digit (rejects ".", "-", "+").
+  case "$value" in
+  *[0-9]*) return 0 ;;
+  esac
+  return 1
+}
+
+##
+# Asserts the actual value is within +/- delta of the expected value:
+# |actual - expected| <= delta. Supports floats via bashunit::math::calculate.
+# Arguments: $1 - expected, $2 - actual, $3 - delta
+##
+function assert_within_delta() {
+  bashunit::assert::should_skip && return 0
+
+  local expected="$1"
+  local actual="$2"
+  local delta="$3"
+  local label
+  label="$(bashunit::assert::label)"
+
+  if ! bashunit::assert::_is_numeric "$expected" ||
+    ! bashunit::assert::_is_numeric "$actual" ||
+    ! bashunit::assert::_is_numeric "$delta"; then
+    bashunit::assert::mark_failed
+    bashunit::console_results::print_failed_test \
+      "${label}" "${expected} ${actual} ${delta}" "to all be numeric" "but got a non-numeric value"
+    return
+  fi
+
+  local diff
+  diff="$(bashunit::math::calculate "$expected - $actual")"
+  case "$diff" in
+  -*) diff="${diff#-}" ;;
+  esac
+
+  if [ "$(bashunit::math::calculate "$diff <= $delta")" != "1" ]; then
+    bashunit::assert::mark_failed
+    bashunit::console_results::print_failed_test \
+      "${label}" "${actual}" "to be within ${delta} of" "${expected}"
+    return
+  fi
+
+  bashunit::state::add_assertions_passed
+}
+
 function assert_line_count() {
   bashunit::assert::should_skip && return 0
   local IFS=$' \t\n'
diff --git a/tests/acceptance/snapshots/bashunit_test_sh.test_bashunit_should_display_all_assert_docs.snapshot b/tests/acceptance/snapshots/bashunit_test_sh.test_bashunit_should_display_all_assert_docs.snapshot
index 9e0977ec..aaf7b4a3 100644
--- a/tests/acceptance/snapshots/bashunit_test_sh.test_bashunit_should_display_all_assert_docs.snapshot
+++ b/tests/acceptance/snapshots/bashunit_test_sh.test_bashunit_should_display_all_assert_docs.snapshot
@@ -150,6 +150,15 @@ Reports an error if `actual` is not greater than or equal to `expected`.
 - assert_less_or_equal_than is the inverse of this assertion and takes the same arguments.
 
 
+## assert_within_delta
+--------------
+> `assert_within_delta "expected" "actual" "delta"`
+
+Reports an error if `actual` is not within `delta` of `expected`
+(i.e. `|actual - expected| > delta`). Supports floating-point values.
+Useful for timing or measured values where exact equality is too strict.
+
+
 ## assert_date_equals
 --------------
 > `assert_date_equals "expected" "actual"`
diff --git a/tests/unit/assert_numeric_test.sh b/tests/unit/assert_numeric_test.sh
index 6206f75e..d8f7020d 100644
--- a/tests/unit/assert_numeric_test.sh
+++ b/tests/unit/assert_numeric_test.sh
@@ -125,3 +125,30 @@ function test_unsuccessful_assert_greater_or_equal_than() {
     "Unsuccessful assert greater or equal than" "1" "to be greater or equal than" "3")" \
     "$(assert_greater_or_equal_than "3" "1")"
 }
+
+function test_successful_assert_within_delta() {
+  assert_empty "$(assert_within_delta "3.14159" "3.14" "0.01")"
+}
+
+function test_successful_assert_within_delta_with_a_negative_difference() {
+  assert_empty "$(assert_within_delta "100" "105" "10")"
+}
+
+function test_successful_assert_within_delta_when_equal() {
+  assert_empty "$(assert_within_delta "42" "42" "0")"
+}
+
+function test_unsuccessful_assert_within_delta() {
+  assert_same \
+    "$(bashunit::console_results::print_failed_test \
+    "Unsuccessful assert within delta" "105" "to be within 3 of" "100")" \
+    "$(assert_within_delta "100" "105" "3")"
+}
+
+function test_unsuccessful_assert_within_delta_with_a_non_numeric_value() {
+  assert_same \
+    "$(bashunit::console_results::print_failed_test \
+    "Unsuccessful assert within delta with a non numeric value" \
+    "abc 105 3" "to all be numeric" "but got a non-numeric value")" \
+    "$(assert_within_delta "abc" "105" "3")"
+}