S
M
T
W
T
F
S
26
81°
60°
27
81°
59°
28
71°
61°
29
82°
63°
30
72°
57°
1
66°
54°
2
68°
43°
3
70°
42°
4
78°
50°
5
78°
59°
6
80°
60°
7
70°
42°
8
69°
47°
9
74°
50°
10
76°
52°
11
76°
53°
12
77°
54°
13
79°
55°
14
78°
56°
15
79°
55°
16
76°
56°
17
79°
58°
18
79°
59°
19
81°
59°
20
79°
60°
21
77°
56°
22
77°
53°
23
75°
52°
24
75°
54°
25
77°
56°
26
78°
54°
27
76°
54°
28
77°
55°
29
78°
57°
30
79°
61°
31
80°
62°
1
81°
63°
2
79°
62°
3
79°
61°
4
80°
60°
5
83°
63°
6
85°
64°
Temperature Graph
°F
Avg. Hi
Avg. Lo
Actual Hi
Actual Lo
Forecast Hi
Forecast Lo
May Weather in Cleburne
Cleburne's May 2026 forecast shows daily high temperatures ranging from 68° to 85°, with overnight lows between 42° and 64°. The average high for May is 77° with an average low of 55°. AccuWeather's monthly forecast extends further ahead than any other source, with day-by-day RealFeel® Temperatures giving a complete picture of how May weather will actually feel in Cleburne. See also: June | July | August.