Map from Google - Israel

The climate in Israel is characterized by hot and sunny summers, and a long period of sunshine, with clear skies from April to October. The rains (where they occur) are concentrated from November to March.
The climate is Mediterranean along the Mediterranean coast (see Tel Aviv, Haifa, Netanya), with mild, rainy winters and hot, sunny summers, during which the air is humid but tempered by breezes. In Tel Aviv, the average temperature in January is 14 °C (57 °F), while in July and August it's about 26 °C (79 °F). Heat waves from Egypt can occur especially in the period April-June, when they can raise the temperature up to 40 °C (104 °F) even on the coast.
Here are the average temperatures of Tel Aviv.
Average temperatures - Tel Aviv
Tel AvivJanFebMarAprMayJunJulAugSepOctNovDec
Tel AvivJFMAMJJASOND
Min (°C)101012141720232322191512
Max (°C)181820232527293029272420
Min (°F)505054576368737372665954
Max (°F)646468737781848684817568

The rainfall, concentrated in the winter months, is around 580 millimetres (23 inches) per annum. Here is the average precipitation.
Average precipitation - Tel Aviv
Tel AvivJanFebMarAprMayJunJulAugSepOctNovDecYear
Tel AvivJFMAMJJASONDY
Prec. (mm)1451106015400013580125585
Prec.(in)5.74.32.40.60.200001.43.14.923
Days13118210000471056

On the Mediterranean coast, the sea is warm enough for swimming from June to November.
Sea temperature - Tel Aviv
Tel AvivJanFebMarAprMayJunJulAugSepOctNovDec
Tel AvivJFMAMJJASOND
Sea (°C)181717182124262827262320
Sea (°F)646363647075798281797368

In the interior (see Jerusalem, Nazareth), the climate becomes more arid, but also more continental, due to both the greater distance from the sea and the elevation: Jerusalem is located at 700 metres (2,300 feet) above sea level, Bethlehem, in the West Bank, at almost 800 metres (2,600 feet), while Nazareth is located at a lower altitude, around 300/500 metres (1,000/1,600 feet). In these inland areas, intrusion of cold air masses from Russia can bring even snow in January and February (but sometimes also on early March), usually above 600 metres (2,000 feet). During summer, the air in this area is dry and the heat is usually tolerable, but sometimes warm air masses from the Egyptian desert can bring scorching heat even here. In Jerusalem, the average temperature in January is 9 °C (48 °F), while in August it's 24.5 °C (76 °F). Here are the average temperatures in Jerusalem.
Average temperatures - Jerusalem
JerusalemJanFebMarAprMayJunJulAugSepOctNovDec
JerusalemJFMAMJJASOND
Min (°C)66813161819201917128
Max (°C)121315222528292928251914
Min (°F)434346556164666866635446
Max (°F)545559727782848482776657

The annual precipitation is around 550 mm (21.5 in), concentrated in the winter months, while from May to mid-October it almost never rains. Here is the average precipitation.
Average precipitation - Jerusalem
JerusalemJanFebMarAprMayJunJulAugSepOctNovDecYear
JerusalemJFMAMJJASONDY
Prec. (mm)1351209525300001560105555
Prec.(in)5.34.73.710.100000.62.44.121.9
Days12129410000371159

Jerusalem

Further to the east, in the Jordan valley, which goes even below sea level (not only around the Dead Sea, but also south of the Sea of Galilee), the winter is still mild, but the summer becomes definitely hot. Rainfall is scarce, and the landscape, excluding the areas where the river's water is used to irrigate fields, is therefore semi-desert. In Tiberias, 415 millimetres (16.5 inches) of rain fall each year, as usual, with rainfall concentrated in the winter months. Here are the average temperatures.
Average temperatures - Tiberias
TiberiasJanFebMarAprMayJunJulAugSepOctNovDec
TiberiasJFMAMJJASOND
Min (°C)8810131720222321181410
Max (°C)171922273235363635302419
Min (°F)464650556368727370645750
Max (°F)636672819095979795867566

Further south, in the areas bordering Sinai and the Red Sea, we find the Negev Desert, which has mild winters and hot summers. Unlike the Mediterranean coast, summer is not the best time for a stay at the beaches of the Red Sea: in Eilat, the average daily temperature in July and August is 32 °C (90 °F), with a minimum of 26 °C (79 °F) and maximum of 38 °C (100 °F), but sometimes it can exceed 45 °C (113 °F). On the other hand, in April and October, the maximum temperature is around 30/32 °C (86/90 °F), and the sunshine is still guaranteed.
Average temperatures - Eilat
EilatJanFebMarAprMayJunJulAugSepOctNovDec
EilatJFMAMJJASOND
Min (°C)101114182225262625211611
Max (°C)202125303437383836322621
Min (°F)505257647277797977706152
Max (°F)68707786939910010097907970

In Eilat, the rainfall is very poor, since it doesn't even reach 50 millimetres (2 inches) per year.
At Eilat, the Red Sea is a bit cool for swimming in winter, while it is very warm in the summer months.
Sea temperature - Eilat
EilatJanFebMarAprMayJunJulAugSepOctNovDec
EilatJFMAMJJASOND
Sea (°C)222121232526282828272523
Sea (°F)727070737779828282817773

When to go

The best times to visit Israel are spring and autumn, and in particular the months of April, May and October. Easter is therefore usually a good time to visit places of historical and religious interest in the country.
For a beach holiday, on the Mediterranean coast the warm and sunny season is long and runs from mid-May to mid-October, although as we have seen the sea is still a bit cool in May.
The Red Sea is warmer, but as mentioned in summer the heat is too intense for sunbathing, especially from June to September, while in winter from December to February, pleasant days alternate with others which can be little cold: so here the best periods for a beach holiday are the month of April, and from mid-October to mid-November.

What to pack

In winter: in Jerusalem and inland hills: warm clothes, jacket, hat, raincoat or umbrella, scarf for the wind, hiking shoes; in Jordan Valley and Eilat: spring/autumn clothes for the day, jacket and sweater, umbrella for the area located north of the Dead Sea. In Tel Aviv and the Mediterranean coast: spring/autumn clothes, sweater and jacket, raincoat or umbrella.

In summer: in Jerusalem and inland hills: light clothes, sun hat, sweatshirt for the evening, scarf for the wind-borne sand and dust, hiking shoes. In the Jordan valley and Eilat: lightweight clothing of natural fibres, desert turban; in Tel Aviv and the Mediterranean coast, light clothing; a light sweatshirt for the evening.
For the reef, snorkeling equipment, water shoes or rubber soled shoes.